diff --git "a/data/dm_maths/full_data_2/10018_11255.jsonl" "b/data/dm_maths/full_data_2/10018_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10018_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Rearrange -18*c - 62*c - 5*c to the form k*c + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 + 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 313845550?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 6*x**2 - 8*x - 3. Let t be p(-5). Suppose 2*b = b + t. Suppose 339 + 374 = 31*r. Calculate the remainder when r is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*z - 16*z - 40*z.\nAnswer: -111*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 244 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1944 is divided by 17?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6908 + 6888. Which is smaller: l or 13?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3479881393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -5*z + 5*q, -2*z + 43 + 40 - 57 = 4*q for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -7*f + 2*f. Let s = 17 + f. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41696634.\nAnswer: 2, 3, 7, 992777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 411952?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -1 + 0 - 5*n**3 - n - n**2 + 4*n**3. Let j be i(-2). Suppose -4*p - 12 = 3*m - m, -m = -j*p - 8. Sort -4, 3, m in decreasing order.\nAnswer: 3, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of -c**4\/4 + 5*c**3\/3 - c**2 + 12*c + 1. Let b be t(5). Solve 9 = 2*k + 3*g, 5*g = b*k - 3 + 2 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -2*x + 3*x. Let c = -31 - x. Let o(j) = -2125004*j + 16. Let u be o(c). What is u rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18382 - -3584482\/195. Find the common denominator of a and -133\/60.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(37\/4))\/(f**(-33)*f)*(f\/(f*f\/(f\/f**(4\/15))))\/f**(40\/9))**(3\/11) assuming f is positive.\nAnswer: f**(6757\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2488*l**4 - 2*l*p + 77*l - 22*p + 2799 wrt l?\nAnswer: 9952*l**3 - 2*p + 77","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/5*m**5 - 12\/5*m**4 - 144\/5 + 20*m**2 - 18\/5*m**3 + 72\/5*m = 0. What is m?\nAnswer: -2, 1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h**2 - 5*h**2 + 17*h**2 - 3*h**2.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from taaatataattatattaaat. What is prob of sequence aat?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 204 = -3*l + 5*l, -382 = -4*l - 3*w. Suppose -98*j - 4 = -l*j. Is (-1 + 2)*j*678\/(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 0.0002?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of -i**5\/120 - i**4\/12 - i**3\/4 + 10*i**2. Solve u(m) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/131784000 and 229\/138373200.\nAnswer: 2767464000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rnsn when four letters picked without replacement from nnnqsnqnqrrrn.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20781715*h**2 + 6*h + 1477402 wrt h.\nAnswer: 41563430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2. Let z(x) = x - 3. Let f be z(3). Let w(i) = -6*i + 0 + 7*i + f. Determine r(w(t)).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 48, 119, 208, 309, 416?\nAnswer: 523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -4*r**3 + 2 + 3*r**3 + r + 0 - 3*r**2. Let o(i) = 6*i + 8 + 0 - 18 + i**2 + 0*i**2. Let z be o(-7). Determine n(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**3 - t**2 - 3*t. Suppose 5*f - 12 = f. Is i(f) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-6))\/((-4692)\/2484*9)\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -407, 4, 115 in increasing order.\nAnswer: -407, 4, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 PM and 5:00 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 9:05 AM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 200 = -i, -69*i = -73*i + 2*u - 800. Which is smaller: i or -202?\nAnswer: -202","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30199.63t to grams.\nAnswer: 30199630000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 28*q**3 + 17*q**2 - 42*q + 15. What is the remainder when 1520 is divided by v(2)?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1641 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -11*i + 22, -3628012*i - 6 = -3628015*i for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/25093 or 1?\nAnswer: 3\/25093","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 947.1898 micrometers to kilometers.\nAnswer: 0.0000009471898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 18264.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -4 (c) 10\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1))**(-10)*(n**(2\/7))**(-32))\/((n**(-1)*n)**(-2\/11))**(-2\/63) assuming n is positive.\nAnswer: n**(6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -851464 (base 9) in base 5?\nAnswer: -112200213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of -x**7\/630 - x**6\/72 + x**5\/60 + 17*x**4\/72 + 5*x**3\/9 + 1579*x**2. Suppose y(q) = 0. What is q?\nAnswer: -5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02029033 to 5 decimal places.\nAnswer: 0.02029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33870 is divided by 370.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9535573 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9638 - -0.8991.\nAnswer: 1.8629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 0*i = 22. Let x be i*(-4 + 3\/1). Calculate the highest common factor of x and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 61855651\/1004255640 - 5\/612351. Calculate the common denominator of n and -27\/41.\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3219 - -19357\/6. Calculate the common denominator of 97\/6 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/(-6))\/((-1)\/(-54)*-3). Solve 5*q = -3*c - 19, -4 = 3*q + c + l for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 x when two letters picked without replacement from bxjjxyjbyj.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-129)\/6 + -1)\/((-3)\/4) and 27.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 27, 15, -5, -39, -93, -173, -285, -435?\n\"Answer: -v**3 + 2*v**2 - 11*v + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 92492, 184984, 277478, 369974, 462472?\n\"Answer: o**2 + 92489*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, q: 2, u: 2, p: 4, a: 1}. Give prob of sequence ukup.\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**3\/9 + 84*d**2 - 10022*d\/3 + 267260\/9 = 0.\nAnswer: -415, 14, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 704 is divided by 338.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = f - 5*k - 36, 4*f - 5*k = 199. Suppose 0 = 2*u - 2 - f. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19482*y**6 + 6035*y**4 + 95826541*y**2 - 4.\nAnswer: -2337840*y**3 + 144840*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3957943 is divided by 791551?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 80849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 1743130088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 245 - 53211?\nAnswer: -52633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, c: 5, w: 5}. What is prob of sequence wr?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -d - 2*d. Let q(n) = -n**3 - 15*n**2 + 5. Let u be q(-15). Sort 1, u, d in increasing order.\nAnswer: d, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (31\/2)\/(2\/4). Let x(v) = v**3 + 14*v**2 + 38*v - 40. Let p be x(-9). Let m = i - p. Calculate the least common multiple of m and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 469 - 468. Suppose 0*i - 160 = -5*i. What is the remainder when i is divided by 3 + r + (-712)\/(-89)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/3)*f*f\/f**(-25))\/(f**(-3\/4)\/f)**(-36) assuming f is positive.\nAnswer: f**(-106\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d + 3*s + 17 = -d, -76*d + 44*d + 89*d + 3*s + 297 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 92*y + 9803. Let m(o) = -2*o. Determine c(m(g)).\nAnswer: -184*g + 9803","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 27054366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -11 - -67 - (-112)\/(-8). What is the greatest common divisor of 24276 and s?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3312 and -6.\nAnswer: 19872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1571*b = -2*v + 1574*b - 22, -3*v - 2*b - 7 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 143873?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of 3\/130*c**5 - 1\/195*c**6 - 3*c - 1\/273*c**7 + 1\/78*c**4 + 0 - 2\/39*c**3 + 0*c**2. Solve t(n) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 5 = 3*q, -34 = -2*a + 4*q. Calculate the smallest common multiple of a and 8.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 18 and 120240754.\nAnswer: 120240772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -665 divided by -17.\nAnswer: 665\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(1 + -6)*-4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6277161665 to the nearest integer?\nAnswer: 1845","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26867888 is divided by 211?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60511.53 grams to nanograms.\nAnswer: 60511530000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**(-1\/7)*b)\/b*((b\/b**(-3))\/b)\/b*(b\/(b*b**(1\/7)))**(-4\/11) assuming b is positive.\nAnswer: b**(43\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42 - 18. What is the greatest common factor of m and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - -1 - (-39 + 48)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 21076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.12 + 0.1084. What is n rounded to 3 decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*s = -5*s + 1674. Suppose 11*g + 126 = s. Let f = 0.4 + 0. Sort -4, g, f in decreasing order.\nAnswer: f, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 43081, 40710, 38335, 35956, 33573, 31186?\n\"Answer: -2*k**2 - 2365*k + 45448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 PM and 4:43 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14800*b**2 - 6958 + 10654 + 4169 - 4436*b**2 wrt b?\nAnswer: 20728*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.876*-39.7.\nAnswer: 34.7772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 589.\nAnswer: 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 27*o + 85. Let j be q(-3). Let d(f) = -12*f + 5 + 703*f**2 + j - 349*f**2 - 5 - 355*f**2. Suppose 0 = n + z + 4*z + 12, 3*n + 36 = 3*z. Give d(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2209 - 923. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.066 * -11.\nAnswer: 33.726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2\/15 of a millennium?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4836\/180 - 14) + -13.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*n - 20. Let f be (-51 - -4)\/(-1) + n. Suppose -g + 2 = -0*g, 3*t - g = f. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = o - 24, -2*o + 15 = 2*j - 3. Suppose 7*c - o*c = 609. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -198*p - 207. Give o(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, l: 3, b: 5, e: 1, v: 5}. Give prob of picking 1 b and 1 f.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**5 + 543*r**4\/4 - 593*r**3 + 1143*r**2\/4 + 1607*r\/2 - 210 = 0. What is r?\nAnswer: -140, -1, 1\/4, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2, -5, -10\/3, -10\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1411*c = 1395*c + 320. Solve -2*j = 5*p + c, -5*j + 4*p + p = 15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/4 or 0.033716?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 8649?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 5*x - 14 = -3*x, 0 = -i - 2*x + 1 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2524339 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*g - 9. Solve 3*h = 4*n - 7, 2*h = g*n + 3*h + 9 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 a factor of 18410994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + n. Let h(j) = j**2 - 3*j. Let o(p) = 6*c(p) + 2*h(p). Let f(t) = 4*t + 9. Let s(z) = 2*z + 4. Let u(i) = 4*f(i) - 9*s(i). What is o(u(d))?\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25776 is divided by 84?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/((-324)\/675) + 6\/4.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, 5, -3 in decreasing order.\nAnswer: 5, -3, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.01*0.417\nAnswer: -0.00417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184866282 is divided by 293.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 181, -4, -131, -3, -2, 3.\nAnswer: -131, -4, -3, -2, 3, 4, 181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 413369 a multiple of 166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let w be (41\/(-82))\/(2*(-4)\/16). Which is smaller: w or 24\/479?\nAnswer: 24\/479","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 6)*((-1 + 1 - 2*c)*(3*c + 3*c - 2*c) - 2*c**2 - 4*c**2 + 2*c**2).\nAnswer: 72*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -615 + 9957. Suppose -x = -5*d + 13883. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + r - 4*r - 27 = 4*k, -5743*r = 3*k - 5754*r + 27 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1551006872?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7220550?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.013 - 10.9.\nAnswer: -10.913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87746, -176716, -265686, -354656, -443626, -532596?\nAnswer: -621566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4606185 and 530.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12 - 8 - (0 + 0). Let o(k) be the third derivative of 0 + 0*k**a + k**2 + 0*k - 1\/2*k**3 - 1\/30*k**5. Find the first derivative of o(t) wrt t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 3:13 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15872080?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/5 + 209*n**2\/5 - 9164*n\/5 + 33376\/5.\nAnswer: -(n - 149)*(n - 56)*(n - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 2 in descending order.\nAnswer: 5, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 17*z**2 + 15*z - 65. Let s(o) = -2*o**2 - o - 1. Let a(i) = m(i) + 2*s(i). Is a(-19) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.12871*0.17503.\nAnswer: 0.0225281113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11\/5 in -5\/2, 5, -0.06, -52587?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 less than 1501?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5176174 is divided by 6359?\nAnswer: 6307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 90*m - 272. What is the remainder when w(7) is divided by 90?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 2*f - 350 = 0. Let y = f - 46. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 8 = -a, -20 = -21*g + 19*g - 64973*a + 64972*a for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 j when two letters picked without replacement from njnjnnjdjn.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -12020, -24039, -36058, -48077, -60096, -72115?\n\"Answer: -12019*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 193 - 116. Calculate the highest common divisor of 7 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1392051635*k*s - 280649126*k wrt s.\nAnswer: -1392051635*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**3 + 30*d**2 - 181*d + 84. Determine t(4).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = -7*p + 155. What is the smallest common multiple of p and 28?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-11)\/((-34)\/16 - -2). Suppose -2*n + 0*n = -v. What is the remainder when n is divided by (106\/265)\/(-1 + 0 + 141\/135)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2 - 2*l**3 - 2*l + 3 - 6*l**2 + 2*l**2. Let s be m(-2). Suppose 0 = -7*f + 19*f + 48. Put f, -1, s in decreasing order.\nAnswer: s, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 8*d**2 + 18*d + 5. Calculate k(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 28826134 to the power of 1\/2, to the nearest integer?\nAnswer: 5369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 5112 = 513. Let f = -413 + x. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35206.48 millennia in decades?\nAnswer: 3520648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47 - 63. Let p be ((-1)\/5)\/(a\/80). Let l(z) = 0*z + 0 - 1 - 3*z. Calculate l(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 249*t**2 - 130*t - 8. What are the prime factors of q(3)?\nAnswer: 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 9*d - 15. Let f be b(9). Let v = f - 41. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 6:32 AM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 12497, 21619, 30741, 39863, 48985, 58107?\n\"Answer: 9122*s + 3375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4917.6 - 4918. What is the closest to 12\/37 in 2\/17, 1, s?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 968247350 to the nearest integer?\nAnswer: 31117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53753 is divided by 65?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47 + -45. Find the third derivative of 5*d**2 - 9*d**5 - 7*d**2 + 13*d**2 - i*d**5 wrt d.\nAnswer: -660*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by -4\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqiiqqiqiqii. Give prob of sequence iiii.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 3:33 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -h**3\/6 - h**2\/4 + 3*h - 18. Find q, given that b(q) = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/90130 + -68913397\/90130. Let a = v - -765. Is a >= 5\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/21)\/((18\/3)\/12).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 53223492?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 89 - 285. Let l = 205 + r. Solve l = 4*z - z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 393 and 786.\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48274167.\nAnswer: 3, 16091389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**2 - 4*n**2 - 4*n**2 + 0*n + 3*n**2 + 0*n + (-n + 4*n - 2*n)*(-5*n + n + 2*n) in the form o*n**2 + g + y*n and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-one quarters of a litre?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(612)*-1 + sqrt(17) - (sqrt(68) + -1 - sqrt(17)).\nAnswer: -6*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xleluuueuuuxuu. What is prob of sequence ux?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand u + u - 4*u - u + u - 3*u + (-4 + 2 + 1)*(2*u + 0*u - u).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 g when three letters picked without replacement from gqqgqqqggqqgq.\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-4 - -4 - (-8 + -5) - 10 - 10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 6:54 AM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2. Suppose -3*j - 4*k - 15 = 0, -2*j + 5*j = 4*k + 33. Let d(p) be the second derivative of 6 - 29\/6*p**j + 0*p**2 + 3*p. What is y(d(a))?\nAnswer: -841*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 4*i + 3*p + 4, i + 6 = -3*p for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 7:30 PM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -580*t - 586*t + 40*t + 166*t - 279*t.\nAnswer: -1239*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 14*h - 7331116 = 0. Let u = 263932 - h. What is u rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24840985?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 37 = -4*q, 3*q = -4*i + 35 + 19. Calculate the highest common divisor of i and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -13*u**2 - 10*u - 2. Let m(a) = 11*a + 19*a**2 + 0*a**2 - 7*a**2 + 4 + 0*a**2. Let q(v) = -4*g(v) - 3*m(v). Find the second derivative of q(w) wrt w.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**2 + 5*f**2 - 3*f**2)*(35 - 17*f + 21 - 30).\nAnswer: -34*f**3 + 52*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 72 - 27 = 0. Solve -2*s - 6 = -4*q, 4 = -2*q + f*s + 11 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -159*u - 36*u + 56*u.\nAnswer: -139*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*m = 232*m - 193 - 173. Let g(j) be the third derivative of 1\/480*j**5 - 13*j**m + 0 - 1\/240*j**6 + 0*j**4 + 0*j + 0*j**3. Factor g(y).\nAnswer: -y**2*(4*y - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 90527.46 tonnes?\nAnswer: 90527460000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w + 3*a - 3 = -8*w, 0 = 5*w - 5*a + 15. Solve -3*z = 3*l - w, -15 = l + 3*z - 6 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4269*i**3 - 47*i**2 + 25*i**2 - 1081*i**3 + 18*i**2.\nAnswer: -2*i**2*(2675*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23*n*y**4 + 2*n*y**3 - 2*n*y + n - y**4 - 8*y**3 + 4*y**2 + 44*y + 8 wrt y.\nAnswer: 552*n*y + 12*n - 24*y - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 196 and 2.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v. Let j(g) = 35 - 300*g - 68 + 33 - 269*g. Calculate p(j(a)).\nAnswer: -1138*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + s. Let z be p(-1). Let x be 11\/3 - 4\/6. Suppose z = 5*v + 3*a - 185, 0 = -x*v - v - 2*a + 148. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(-6) - 0)*-21. Let d(u) = u**2 - 28*u - 14. Let c be d(28). Is c at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93625, 187252, 280879, 374506, 468133, 561760?\nAnswer: 655387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 852012 = -2*r - 2*w, -w = -5*r + 2129997. What is r rounded to the nearest ten thousand?\nAnswer: 430000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/11 + 1326*m\/11 + 72360\/11.\nAnswer: 2*(m + 60)*(m + 603)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (56\/(-98))\/(-1 - 95\/(-105)). Solve r + 3*q - 2 = z*q, -r + 5*q = -6 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 10*l + 2. Suppose -2*a + y - 48 = -7*a, 5*a = 4*y + 58. Let f be t(a). Find the second derivative of -59 + 59 + 30*n - 35*n**f wrt n.\nAnswer: -70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 - l - 1. Let u(a) = -4*a**4 + 3*a**2 - 2*a - 2. Let s(o) = -2*h(o) + u(o). Find the third derivative of s(z) wrt z.\nAnswer: -96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of z**3\/3 - z**2 - 3*z + 26. Calculate h(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14347 + -14347.00000043585. What is x rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -9. Suppose -68 = -3*b - g. Does 11 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m, 1 i, and 1 p when four letters picked without replacement from {i: 1, m: 4, x: 1, n: 1, p: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -309101\/122742 - 1\/4546. Calculate the common denominator of ((-108)\/(-20) + 4)*-1 and s.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 13, 18\/83, 930\/11, 4 in increasing order.\nAnswer: -5, 0, 18\/83, 4, 13, 930\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -12, 3\/5, 4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -0.02, -3\/29, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2 + 22076*z - 22080.\nAnswer: 4*(z - 1)*(z + 5520)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41.4 - -39.31. What is i rounded to one dp?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -90 - -95. Suppose -3*n = 2*n. Solve j*r = 2*b - 29, 4 = 2*b - n for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n - 3*w + 28, 5*n + n - 3148*w + 16 = -3150*w for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1 + 5 - (-23 - (-22 - 17)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 3*b - 21, 3*k + 2*k + 3*b = 9. Solve -k = 5*f + 7 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28a (base 16) to base 15.\nAnswer: -2d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17524 is divided by 138.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 732793 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**3 - 4 + 24*l + 18*l - 43*l + l**2 + 8*l**4 to the form x*l**4 + k*l + c*l**2 + r*l**3 + o and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n + 9457*x - 9456*x, -3*n + 116*x = -2885 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7.2 - 9. Let g = u - -2. What is the third biggest value in g, 5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 2:43 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-156)\/(-117)*99\/4 and -11*(1\/(-2) + 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*i*p**3 + 2*i*p + 2*i - 17*p + 3868 with respect to p.\nAnswer: -51*i*p**2 + 2*i - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 0 + 1 - 5 - 4*f**2 + 3. Suppose -2*t = 7 - 5. Determine q(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167 = 11*o + 145 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 - 11*d + 10. Let j be y(10). Which is the closest to j? (a) -2\/9 (b) -3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 16) to base 8\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 117928?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 4067*q**3 + 8*q**2 - 30*q + 68. Is x(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 118 + -114. Suppose 0 = 5*p + s*f - 7890 - 12775, 20665 = 5*p - f. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - 9*g - 15. Let i be a(14). Calculate the greatest common divisor of 22 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -301 + -5?\nAnswer: -306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9642710 and 539.\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 - 1. Let t(v) = 9*v**2 + 5 + 1 + 2*v**2 + v**2. Let q(s) = -t(s) - 6*w(s). Let n(a) = -2*a. Give n(q(k)).\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12586)\/348 + 37 + 1243\/(-462)?\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5, -29, -81, -173, -317, -525, -809, -1181?\n\"Answer: -2*a**3 - 2*a**2 - 4*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 668192 and 1024?\nAnswer: 21382144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9.223373m?\nAnswer: 9223373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s - 1. Let w(r) = r - 1. Let u(a) = -3*w(a) + 2*z(a). Let g be u(-4). Let j(c) = g*c - 8*c + c. Let q(p) = 12*p**2. Determine q(j(v)).\nAnswer: 48*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/n**(-2)*n*n**(-1\/8))\/(n**4*n*n**(-1)) assuming n is positive.\nAnswer: n**(7\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two ninths of a hour in seconds?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6.7 and -0.05.\nAnswer: 0.335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 3*k - k)*(-3*k**4 + k**4 - 3*k**4) - 7*k**5 - 5*k**2 + 5*k**2.\nAnswer: 3*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y - 2*y + 12692*y**2 - 12690*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36 + 65. Does 5 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -416*n + 321661 - 25885 = 0. What is the greatest common factor of 79 and n?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2356744 and 5031.\nAnswer: 21210696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1443 smaller than -2139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-9)*((c**(7\/4)\/c)\/c)\/c*(c**(-1\/3)*c)**(-50)*(c**(-2\/9))**42\/((c\/(c\/c**(-8))*c)\/(c*c**(4\/7)\/c)) assuming c is positive.\nAnswer: c**(-3809\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 9, g: 3, y: 3, c: 5}. Give prob of sequence cgcc.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4614 - 4566. Solve -15*i + w*i + 198 = 0 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) -2\/3 (b) -3 (c) 3\/2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 - 11. Solve l*g - 2*g - 15 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -798268020 divided by 25366?\nAnswer: -31470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70)\/(sqrt(50) + sqrt(2)) - sqrt(35))\/(-3*sqrt(20)\/sqrt(4)))**2.\nAnswer: 175\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2024652 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16022180 divided by -4.\nAnswer: 4005545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and -1251238854.6.\nAnswer: -1251238854.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*z - 223 + 2*z + 3*z + 440 to t + u*z and give t.\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 1 + 11. Suppose -4*j - 5 = -f - 5*j, -y*f = -5*j - 5. Suppose -5*r = -d - 374, -r + 0*r - f*d + 62 = 0. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -153 - -147. Let c(q) be the first derivative of -q**4\/4 - 2*q**3 - 5*q**2\/2 - 8*q + 40. Determine c(s).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*10\/(-125)*-5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of j**3 + 1\/60*j**5 - 25*j**2 + 1\/4*j**4 + 0*j + 0. What is i(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -221 - -2231233?\nAnswer: 2231012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2129 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 145742*o - 2477620. Determine a(17).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19486.\nAnswer: 2, 9743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2756 + 5138. Let p = a - 1564. List the prime factors of p.\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 + 24*q**2 + 24*q + 39. Let c(y) = -y**3 + 25*y**2 + 20*y + 39. Let p(z) = 6*c(z) - 5*i(z). Let l be p(30). Do 426\/11 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4524620 (base 7) in base 8?\nAnswer: -2107731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -31*s**3 + 169*s**2 - 79*s + 10. What is p(5)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-91)\/(-52) + (-2)\/(-8). Solve i - 5*i + c - 8 = 0, -2*i + 2*c + b = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u. Let z(g) = 26*g - 6. Let p(v) = 286*v - 65. Let t(a) = 6*p(a) - 65*z(a). What is t(o(i))?\nAnswer: -52*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(170) - 2*sqrt(170)) - -4*(sqrt(170)*2 - sqrt(170)))\/(-2*sqrt(360)*1).\nAnswer: -sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 2:08 AM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (14 - 13)*(-5)\/(-1). Let p(a) = 2*a**2 - 10*a. Let s be p(l). Let q be 1 + ((-16)\/10 - -1). Which is bigger: s or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.398 (b) -0.043 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35.455 + 34.2. Let i = w - -0.255. Let k be 115\/58 - (2 + 0). Which is the closest to k? (a) i (b) -0.3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -8*o + 1. Let v(g) = -82*g + 8. Let k(m) = -20*r(m) + 2*v(m). Let y = 23 - 19. Determine k(y).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/48 - (-25)\/120.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 3:46 PM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -1\/4 (c) -397\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1879?\nAnswer: 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -784, -14, -3 in decreasing order.\nAnswer: -3, -14, -18, -784","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of 166*u**6\/15 + 7*u**2 - 51*u + 1. Differentiate d(t) with respect to t.\nAnswer: 1328*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 2\/33 (b) -10.1 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28 - -27. Let h be (7\/((-28)\/(-6)))\/(m\/(-2)). Solve 0 = h*q - 12 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-57 + 9*p + 57)*(p + 2*p - 4*p) as x*p + h + l*p**2 and give l.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.9057 + -0.4305. What is z rounded to 1 dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1212 + 30630790?\nAnswer: 30632002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*o + 14*o = -164 - 11 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 82 and 1476.\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 514*j**3 - 1018*j**3 - 26*j**2 + 515*j**3 + (589 - 6*j - 589)*(3*j**2 + j**2 - 2*j**2) as d*j**3 + q*j + s*j**2 + m and give s.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 - 3 - (260 + -243)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*i**3 - 57*i**3 + 4*i**2 - i + i**2 - 22.\nAnswer: -26*i**3 + 5*i**2 - i - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 20*k. Let q be r(-1). Let z be ((-560)\/(-144))\/(1\/6)*3. Is 2846\/14 + q\/z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33\/(-22))\/((-9)\/20).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of p**5\/60 + p**2. Let c(a) be the first derivative of 0*a**2 + 0*a - 5\/3*a**3 + 10. Give w(c(v)).\nAnswer: 25*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 7*r**4 + 6*r**2 + r**4 + 0*r**4. Let f(m) = 8*m**4 + 5*m**2. Let v(b) = -4*f(b) + 3*z(b). Find the third derivative of v(c) wrt c.\nAnswer: -192*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of -z**6\/120 - z**5\/30 + z**4\/6 - z**3\/6 + 12*z**2 + 2*z. Determine d(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 27 in 0, 41.58, -2?\nAnswer: 41.58","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 112423002.3s?\nAnswer: 185.88459375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2763*v - 2584*v + 829913 - 829913.\nAnswer: 179*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 0.3, -1, -69, 1\/6 in decreasing order.\nAnswer: 0.3, 1\/6, -1\/6, -1, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**3 - k**3 + 0*k**3 + (-14 + 5 + 6)*(-3*k + k**2 + 3*k)*(-7*k - 3*k + k) - 4*k**3 - 5*k + 5*k**3 + 2*k.\nAnswer: 29*k**3 - 3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6232305 to the power of 1\/2, to the nearest integer?\nAnswer: 2496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 32*t + 294. Let j be i(-9). Let s(q) = -q**3 + 8*q**2 - 3*q - 8. Give s(j).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 15 = 3*x + 27, 14*x + 2*m - 92 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-3 + -1) + (-191200)\/(-64) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/23218 and 99\/26.\nAnswer: 23218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 + 115. Suppose 3*a - y = -3*p, 5*a + 50 - 206 = 2*p. Let i = -28 + a. Solve i*k = -3*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - 5*z - 4. Let o be j(-3). Let u be 3\/(-3) - o\/2. Let r(p) = -2*p**3 - p**2 + 1. What is the tens digit of r(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 3 + 4 - n + (-n - n + n)*(3 - 2 + 0).\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.623 rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1437725330 - 4?\nAnswer: 1437725325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1646532.\nAnswer: 2, 3, 45737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12261, -25477, -38693, -51909?\nAnswer: -65125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5947968 and 450?\nAnswer: 446097600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 12*r. Let q(l) = -10868376*l. Calculate a(q(x)).\nAnswer: -130420512*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 11*g**2 + 5*g + 1. Give z(4).\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 105045?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -25330451 (base 6) to base 14\nAnswer: -175063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3159865566?\nAnswer: 2, 3, 11, 13, 19, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*m = 1 + 56. Solve 5*d - 2*d + 6 = -m*g, 11 = -5*d - 4*g for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69086841 to the power of 1\/5, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 100.\nAnswer: -1\/100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 538 - 761. Let p = s + 277. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 232 + 142 = 22*p. Calculate the remainder when 303 is divided by p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/10324 and -5\/1306.\nAnswer: 6741572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 + -50 + 80 + (22 - 1).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*k*k**4)\/k)**46)**33)**(1\/14) assuming k is positive.\nAnswer: k**(3795\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(sqrt(6) + sqrt(6)*2 - sqrt(6)))\/sqrt(7).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-5)*h)\/h*((h**(-3\/2)\/h)\/h)\/h)**(-5\/9)*h\/(h*h**(-3\/8))*h**2\/h*h\/(h*h**4)*h*h**(5\/4)\/h assuming h is positive.\nAnswer: h**(241\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 112852.5 decades in centuries?\nAnswer: 11285.25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**1)**15)**0\/((t**(-7)*t**(-1))\/(t\/(t*t\/(t**(2\/11)*t)*t)*t**(-2\/5))) assuming t is positive.\nAnswer: t**(373\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/(-44)*22\/(-55)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5294882 rounded to the nearest one hundred thousand?\nAnswer: 5300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 87490\/3 or 29163?\nAnswer: 87490\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*3*(-1 + (5 + (sqrt(1216) + -1)*-5)**2).\nAnswer: -548982 + 14400*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 553.1126 years to months.\nAnswer: 6637.3512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**6*j)\/(j**(2\/17)*j*j))\/((j\/j**7)\/j*j*j**(2\/9))*(j*j\/(j*j**(-2\/7)))**(1\/6)\/(j**(-1\/6)\/(j*(j*j**(-1\/4))\/j*j)) assuming j is positive.\nAnswer: j**(63365\/4284)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -398*q + 3 + 4629999*q**3 + 2*q**2 - 391*q + q**2 + 784*q. Let r be m(1). Round r to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y + 15. Suppose 10*a - 14 = 12*a. Let o be t(a). Let q = 58 + -58. Sort 10, -2, q, o.\nAnswer: -2, q, o, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3864, -3849, -3808, -3729, -3600, -3409, -3144, -2793?\nAnswer: -2344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3003081?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 446 divide 3376220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3\/10)\/(((w\/((((w**5*w)\/w)\/w)\/w))\/w)\/w)*(w*w\/(w*w\/(w**(-2\/15)\/w*w)*w*w)*w)\/(w*w**15\/w))**(-6\/13) assuming w is positive.\nAnswer: w**(373\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 315174419, 630348838, 945523257, 1260697676?\nAnswer: 1575872095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 50239674 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 91*q**2 - 21*q - 76. What are the prime factors of y(-82)?\nAnswer: 2, 31081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of 512*s**5\/15 - 18*s**2 + 5*s - 2. Let o(n) = -5*n**2. Give o(f(t)).\nAnswer: -20971520*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 3:15 AM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*v**2 - 34*v**2 - 39*v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 132256 and 9580294?\nAnswer: 153284704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y**2 - 8*y. Let q be s(-7). Let r be (-162)\/8 + (-3)\/(-12). Let f = r - q. Calculate the greatest common factor of f and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 3*v**2. Let s(q) be the second derivative of 0 + 15*q - 1\/12*q**4 + 0*q**2 + 0*q**3. Determine s(y(l)).\nAnswer: -9*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*-4 + (-60 + (-3478)\/(-37))*-1?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3923 + -3923.11. Which is the fourth smallest value? (a) 27\/5 (b) 3 (c) 1 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - 18*o - 56. Let x be l(23). Calculate the highest common factor of 3 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 72*t**2 + 6*t - 73. Is w(-11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -w - 6. Let y = -455 + 482. Let l = y + w. Is 12 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kuuxbugbggu. Give prob of sequence bukg.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 165895552\/21 or 7899789?\nAnswer: 165895552\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48138679?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 12:30 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 539*u + 575*u + 817745 = 1155*u. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = 5*j - 4*g, 4*j + 1401*g - 1400*g = 97. Suppose -4*q - 150 = 5*t - 514, 348 = 4*q + t. Calculate the remainder when q is divided by j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1952, 1919, 1880, 1835, 1784, 1727?\nAnswer: 1664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -2320, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4202042 and 1939404.\nAnswer: 25212252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4235619097?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 79569.8131?\nAnswer: 79572.8131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 3 - 3)*(4*x**4 - x**4 - 2*x**4) + (-319 + 319 + 63*x)*(2*x**4 + x**3 - x**3) + (-x**2 + x**2 - 2*x**2)*(3*x + 2*x**3 - 3*x).\nAnswer: 124*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -123, -349, -689, -1143, -1711?\nAnswer: -2393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = d - 3*x, 4*d + 12 = x + 3*x for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -92, -213, -320, -335, -180, 223?\n\"Answer: 13*r**3 - 71*r**2 + r - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 78957 and 186.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 860 + -875. Let y be 24\/14*i*(-26)\/585. Which is the second biggest value? (a) 0 (b) y (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-2) + 175\/182. Let q = -17 - -17. Is q >= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g + 191. Calculate the remainder when z(-29) is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3\/5 (b) 0 (c) -1\/3 (d) -2\/211\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x + 47. Let g be u(13). Suppose 0 = -g*o + 52*o + 280. What are the prime factors of o?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxx. What is prob of sequence xxx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17361839 is divided by 754862.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 2*o**2 + 3 + (70*o**2 + 19*o**2 + 2*o**2)*(-3 - 1 + 3) + 2*o**2 - o**2 + o**2 + (2 + 4 - 4)*(2*o - 2*o**2 - 2*o).\nAnswer: -95*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 41.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.4 - -1.3. Let g = 81 - 79. Put 4, w, g in ascending order.\nAnswer: w, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t = -2*z + 4*t - 15, -3*t = -2*z + 25. Solve -4*l - 9 = h, -2*l + l - 7 = z*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 0*i + 0*i - 9*i.\nAnswer: -9*i + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3.7115 or 0.2629?\nAnswer: -3.7115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -151*i**5 + i**4 - 4*i**2 - 40*i wrt i.\nAnswer: -9060*i**2 + 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*l - 23*l + 0*l)*(-4 + 7 - 6) - l - 6*l - 4*l.\nAnswer: 106*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -25, 5, 4 in increasing order.\nAnswer: -25, -1, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**3 - o**3 - o**3)*(-10 + 12 - 11)*(2 - 7 + 3).\nAnswer: -54*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -v - 7, -5*v - 3 = -5*c + 22. Let d(k) = -k**3 + 2*k**2 + 2*k + 2. Let l be d(3). Is 16 a factor of v\/3*(l - 11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 - a - 8. Let r be g(4). Let f(h) = 63 + r*h - 56 - 3*h. Calculate f(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7387.\nAnswer: 83, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 333 - 789. Let m = s + 1123. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -12\/107, -3\/11, -5, 4\/5?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 641 = 318*c, -3*w - 76 = -c - 63 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*u + 33834 = 2673. What is the hundreds digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-6)*l*l)**(4\/15)\/(((l**(2\/15)\/l)\/l)\/(l\/l**23*l)) assuming l is positive.\nAnswer: l**(-101\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 705 and 564?\nAnswer: 2820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - j = 129 - 2199, j - 1380 = -2*m. Let g = m + -319. List the prime factors of g.\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -621 = -5*t - 151. Suppose -t = -2*m - 5*c, 0*m + m + c = 53. Does 13 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 244 + -248. Sort j, 6, -5, 17.\nAnswer: -5, j, 6, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81188 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -60 - -63. Suppose 4\/11 - 82\/11*u**j + 74\/11*u**2 - 8\/11*u**5 + 42\/11*u**4 - 30\/11*u = 0. Calculate u.\nAnswer: 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + (2 - (-3 - -4)). Let o = 102.3 - 113.3. Put 1, -0.2, o, n in ascending order.\nAnswer: o, -0.2, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1194, -5 in decreasing order.\nAnswer: 1194, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4743758?\nAnswer: 2, 2371879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1355)\/(-30081))\/((15\/9)\/1).\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35 - -30. Sort i, 1, 5.\nAnswer: i, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 286300 divided by -28.\nAnswer: -10225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/3 - (-11)\/(-33). Suppose -f - 19 = -d, 7*f + 62 = a*d + 3*f. Solve 5*i + 1 = -d for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 232, 62 in ascending order.\nAnswer: 2, 62, 232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4785.\nAnswer: 3, 5, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -8906*t**2 + 32175*t**2 - 13675*t**2. Let z(y) = 2*y. What is z(s(k))?\nAnswer: 19188*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + y. Let k be 0 + 2 + 8 - 0. Suppose -s + 6*s - k = y. Solve -s*i - 12 = -5*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*j = -17*j - 2340. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(931) + 3 + -4 + sqrt(931))**2 - (2 + sqrt(684) + -1 + sqrt(684) - (2*sqrt(684) + 4)).\nAnswer: -22347 + 168*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o = 5*o + 15. Let y = o - 4. Let d = 5 + y. What is the lowest common multiple of 2 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 - -39. Let r = -10 + h. Suppose j - 15 = 2*l - 3*l, j = r. List the prime factors of l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/96 and -47\/12?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -15*u + 5. Suppose 3*k + 4 = 3*v + 1, -26 = 5*k + 2*v. Let c be d(k). Suppose -s - c = -4*l - 23, -4*s = -3*l + 38. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1070 + 1064. Sort 5, c, -35 in descending order.\nAnswer: 5, c, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -29*f**2 - 12*f. Let k(q) = -q**2. Give u(k(h)).\nAnswer: -29*h**4 + 12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -55688380 by -538.\nAnswer: 103510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39176 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 5*z - 13, -5*z + t + 11 = -0*z. Suppose 0 = 3*x + 2*x - 4*o - 62, 0 = z*x - o - 26. What is the smallest common multiple of 6 and x?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 23 = 5*x - 41, -l + 21 = -3*x. Suppose -3*q - l = -6*q. Solve q + 8 = -3*i - w, w = 4*i + 11 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3456*h**5 + 133*h**2 + h wrt h?\nAnswer: 207360*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.355169 and 0.2.\nAnswer: 0.0710338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 13*s**3 + 20*s**2 - 121*s + 158. Determine x(2).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -7, -210, -4 in descending order.\nAnswer: 4, -4, -5, -7, -210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -w**6\/3 + w**2 - 4. Find the second derivative of t(b) wrt b.\nAnswer: -40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*i + 4 = 2*r - 252*i + 125*i, -7*i + 11*i = -3*r - r + 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-3) - 100\/(-15). Suppose i*j - 259 - 491 = 0. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88165*a = -88232*a - 6365 for a.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) 57 (c) -3 (d) -13 (e) -5 (f) -574\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -14*p. Let o be n(1). Let v be 2\/o + (-114)\/(-14). Suppose -v*i - 3 = -3. Solve -2*l + 2 + 0 = i for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, n: 4, c: 6, k: 7}. What is prob of picking 1 k, 2 c, and 1 n?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 448 and 31753136?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-20))\/(658\/(-89488)*(-4)\/(-6))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*b + 105 = 9*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -157526 (base 8) in base 2?\nAnswer: -1101111101010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2*x - 210 = 0, -5*x + 3*x = 4*m + 418. Calculate the remainder when 56 is divided by (-99 - m)\/(1\/6 + 0).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rgrx when four letters picked without replacement from {r: 2, x: 1, o: 2, e: 1, g: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*b - 0*r + r, -2*r = 2. Find the third derivative of x**b - 6*x**2 + 6*x**4 + x**2 + 3*x**2 wrt x.\nAnswer: 144*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from imyymiiiyyiyiiiyiiyi. Give prob of sequence ii.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70293?\nAnswer: 3, 23431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 542531?\nAnswer: 4\/542531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 16, -29, 7, 3 in decreasing order.\nAnswer: 16, 7, 3, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93445.17um to centimeters.\nAnswer: 9.344517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3508 (base 14) to base 3.\nAnswer: 110122111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-22)\/176)\/((-3)\/4). Let f(x) be the first derivative of 1\/4*x**2 + 3 + 0*x + s*x**3. Determine l so that f(l) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 97 - (88 + -7936)\/(-72)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -533*g - 8503 - 3223 for g.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*t + 2064 = 58*t for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-8))\/((-295)\/(-1180)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19972668.\nAnswer: 2, 3, 89, 18701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 1 - 14. Suppose -t - i = 4*t - 12, -15 = c*i. Let 1\/2*p - 1\/2*p**t + 0*p**2 + 0 = 0. What is p?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*(-1)\/(-36))\/(2\/(-4))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -374, -3, -3299.\nAnswer: -3299, -374, -3, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/27216 and 179\/6480.\nAnswer: 136080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 5*h + 4387 = -10121, 0 = -5*h - 20. List the prime factors of j.\nAnswer: 2, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -83154, -165878, -248602?\n\"Answer: -82724*d - 430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m**3 - 2*m**3 - m**3)*(-342 + 753*m**2 + 342 + 602*m**2).\nAnswer: 2710*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 2 + -1 + -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -143 + 255. Calculate the lowest common multiple of 280 and i.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 4\/31161 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = s - 5*s - 5*z, 0 = -z. What is the lowest common multiple of s and 1*(10 + 3) + 16\/(-8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32127?\nAnswer: 3, 10709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-4))\/(9\/4). Which is the smallest value? (a) 2\/13 (b) x (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -51744\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l + 9. Let a be s(-5). Suppose 0 = -2*b - a*k + 3 - 17, 5*b = 3*k + 30. Suppose -4 = -z - z. Solve -3*n + 4*i = -z*n - 15, 4*n + b*i = -35 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19554823, -39109650, -58664481, -78219316?\nAnswer: -97774155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of d**5\/60 - 5*d**3\/6 - 15*d**2. Let a(n) be the first derivative of 2*n**3\/3 - 4*n - 173. Give 5*a(v) - 4*i(v).\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1869 and 1269.\nAnswer: -2371761","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14523 - 182?\nAnswer: 14341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -y**6\/6 - 17*y**4 + 38*y**3 + 30. Find the third derivative of v(t) wrt t.\nAnswer: -60*t**2 - 408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1244a + -2?\nAnswer: -1244c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 10) to base 8.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -794*d - 103373*d + 7661*d.\nAnswer: -96506*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 + -61 - (3 + -10 - -38).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10951284 - c - 10951284.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/6)\/r*r\/(r\/(r**(-2\/13)\/r))*r**(-1\/5)*(r\/(r*r*r**(2\/21)*r))\/r)**7)**(35\/6) assuming r is positive.\nAnswer: r**(-107317\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 0*n + 2*n - 11*n - 12 - 10*n. What is the tens digit of q(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6 + (-2)\/1 + 1. Suppose 0 = k*w - 4*w - 88. Calculate the greatest common factor of 11 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -104, -177, -224, -233, -192, -89?\n\"Answer: 2*b**3 + b**2 - 90*b - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 6989 in ascending order.\nAnswer: 1, 5, 6989","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*y**4 - 276129*y**3 - 32*y + 78924.\nAnswer: 132*y**2 - 1656774*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51*o - 31444 + 31444)*(-3*o + 3*o + o + 19 + 22*o - 19 + (3*o - o + 0*o)*(2 - 2 - 2)).\nAnswer: -969*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41004 = 3503*m - 71092 for m.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + u + 5. Suppose 0 = 4*g - 5*g - u. Let f = g + 13. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26217 - 39093*t + 39069*t + 26211.\nAnswer: -24*t - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 65028 and 10236.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 5*p + 24, -5*n + 6*p + 51 - 21 = 0. Solve n*u + 2 = -22 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*b**4\/8 + 831*b**3\/4 - 173271*b**2\/8 + 516996*b - 991089\/2 = 0. Calculate b.\nAnswer: 1, 33, 94, 426","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i**3 + 86*i**2 - 91*i + 295. Let w be g(42). Let k(a) = 35*a + 1. Let q(v) = -1. Give w*k(d) - q(d).\nAnswer: 35*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/216 and -73\/288.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*a**2 + 7*a**2 - 3*a**4 - a + 2*a**3 - a**2 + 6 - 6*a**2 in the form l*a**4 + j*a**3 + s*a + p + h*a**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-127 + 31*h + 127)*(-4 + 0 + 6)*(1 + 0*h + 0*h - 2*h**2) in the form s*h**2 + g*h**3 + a + q*h and give q.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/27877 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 32*z**2 + 45*z + 558. What is the hundreds digit of a(-34)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 8*g**2. Let w(t) = 330691*t. Give w(f(b)).\nAnswer: 2645528*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4625 - 0.5.\nAnswer: -0.0375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10582 a factor of 1799147421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7461?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190916 is divided by 95446.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8 + (-3 - 0) + 7609\/(-10010). Let c = h - 20\/143. Find the common denominator of c and 43\/42.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 a when three letters picked without replacement from rrxax.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -110 + 192. Suppose 5*b - 3*s = -0*s - c, -4*b - 5*s = 36. Calculate the remainder when ((-7)\/b)\/(2\/88) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of -2*c**3\/3 + 33*c. Let u(p) be the second derivative of p**4\/4 - 2*p. Determine u(s(h)).\nAnswer: 48*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1198*x**3 + 901*x**3 - 3106*x**3.\nAnswer: -3403*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2*u = -0*u + 21, m - 3*u = 0. Suppose -o + m = i, -3*o + 18 - 3 = 2*i. Solve 4*g = 8, -g + i = 3*z + 2*g for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -500?\nAnswer: -4a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-4)*k)\/k*k**(-12\/11) assuming k is positive.\nAnswer: k**(-45\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by -2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -84*g**4 - 132999*g**3 + 1564059*g**2 - 1014321*g + 157905 = 0.\nAnswer: -1595, 1\/4, 3\/7, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*a - 6*a - 3*a. Let o be (-95)\/105*-6 - (-6)\/(-14). Solve a = o*i - 10 - 5 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/5 + 16 - 1. Suppose -4*y = -2*c - 12, -3*y = y - n. Suppose -6*z = -z - 2*o - 82, -3*z - c*o + 62 = 0. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**2 + 1. Suppose 0*q = -4*p + 2*q + 54, -4*p + 39 = q. Suppose -13 = -r - 4*b, -6*b + p*b - 12 = 3*r. Determine z(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2408 = 379*p - 551*p for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -136 - -138. What is the nearest to -1 in -0.08, n, 4?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*d + 37 + 56 = 9 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n + 2*j = 1, -2*n - j - 34 = -7*j + 3*j - 6*j for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16129 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 978660?\nAnswer: 2, 3, 5, 5437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1019937?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a**2 - 4*a - 31. Is 19 a factor of q(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4761*f**3 - 29049*f**2 - 55264*f - 30976.\nAnswer: -(f + 1)*(69*f + 176)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 5*r**2 + 9*r - 14. Let s be m(6). Suppose 0*x - s = -4*x. Let p(o) = 5 - x + 3*o - 4*o. Let j(g) = g**2. Calculate p(j(q)).\nAnswer: -q**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1037*h + 110 wrt h?\nAnswer: -1037","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 7*m**2 - 420*m + 62. Let k(n) = -n**3 - 6*n**2 - 419*n + 53. Determine -7*k(l) + 6*t(l).\nAnswer: l**3 + 413*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 6*r - 60. Suppose 4*n = 3*w + 37, -5*w + 55 = 9*n - 4*n. Let j be h(n). Solve 7*t - 2*t + 12 = 2*i, t + 2*i + 12 = j for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, w: 4, v: 1, d: 1}. Give prob of picking 1 w, 1 v, and 1 b.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4859 (base 13) to base 12\nAnswer: 5ab2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -225 - -460. Suppose 0*z + 12 = 3*z. Suppose l + z*l - g = 0. Is 20 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 1 + 10 = -2*f, -5*t + 3*f + 19 = 0. Sort -5, 4, -7, t in increasing order.\nAnswer: -7, -5, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/4 - 272*w**2 + 545*w.\nAnswer: -w*(w - 2)*(w + 1090)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of 0*t + 1\/2*t**2 - 19. Let o(k) be the second derivative of 11*k**3\/6 + 2*k. Determine o(z(w)).\nAnswer: 11*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 35 = -5*g - 5*y, -11*y = 10*y - 189 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1365962?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 299187 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11458, 12356, 13254, 14152, 15050, 15948?\nAnswer: 16846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g + 0 - 10 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05482 + -1414034.\nAnswer: -1414034.05482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71015*-0.24.\nAnswer: 17043.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*z - 8096 + 686 = -290*z + 67*z for z.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 1 = h, 0*h - 5 = -3*x - 5*h. Solve x = -t - 0*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7332532 bigger than -7332532?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68, 74, 56, 8, -76, -202, -376, -604?\nAnswer: -892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 4*d - 6. Suppose 5*l - 71 = 4*f - 21, -l - 4*f = 14. What is u(l)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -5*q + 4. Let w be (-12)\/(-18)*(-5 - 1). Suppose 3*x + c + 16 = 4*x, 5*x - 56 = -c. Let k(j) = -x*j + 1 + 6 + 3*j. Calculate w*k(f) + 7*u(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-90*4\/8)\/((-30)\/20*1)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -174, -875, -2000, -3549?\n\"Answer: -212*p**2 - 65*p + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 6*s. Let r(c) be the first derivative of c**2\/2 - 1. Suppose -64 = -8*v - 232. Calculate v*r(d) + 3*j(d).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + -3 + 0 + 10. Let u(r) = -r**3 + 6*r**2 - 7*r + 6. Let t be u(m). Suppose -w + t = w - 2*z, 4*w - 26 = -2*z. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 146294394 divided by 2479566.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73816, -147692, -221576, -295468?\nAnswer: -369368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10827708 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != -5\/49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*2*sqrt(343) - (sqrt(847) + 1)*-5)**2.\nAnswer: 1250*sqrt(7) + 109400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 85332212 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 + 23. Let i be (-2759998)\/6 + (-1)\/x. What is i rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**4 + 10402*k**3 + 20813*k**2 - 52014*k - 62424 = 0. Calculate k.\nAnswer: -3, -1, 2, 10404","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k - 6. Let d(o) = 1. Let u(j) = -3*d(j) - t(j). Let a be u(-4). Suppose 5 = -2*l + a. Let b(w) = w**3 + w**2 - w. Determine b(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5, -33, -71?\n\"Answer: -38*f + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -297630918813 minus 3.9?\nAnswer: -297630918816.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(90) - (sqrt(90) + 1*sqrt(90)*-2 + sqrt(90) + sqrt(90))) + sqrt(90))\/sqrt(6))\/(2*sqrt(3)*1 + sqrt(3) - (sqrt(9)*2)\/sqrt(3)).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272)*4*1)**2.\nAnswer: 4352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -10. Let p be 1*(-3 - 18)\/a. Let m(j) = -j**2 - 9*j - 6. Let n be m(p). Solve -2*t = -4*u + 2*u + 2, 0 = 3*t + 2*u + n for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 111 + (-2)\/4*0. Let l be 0 + (-4)\/((-12)\/i). Suppose -61 = -5*f + 3*c, 0 = f - 4*f + 2*c + l. Calculate the remainder when 31 is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*s**3 - 3*s - 11*s - 10*s**3.\nAnswer: -126*s**3 - 14*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/88 and 91\/138168.\nAnswer: 1519848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/605 and -27\/715?\nAnswer: 7865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-9)*(-1239)\/(-7) + 1. Let w = -150 - o. Let i = w + 42. Solve 2*u = i - 5 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -6*n - 3. Let q(u) = -5*u - 3. Let i(t) = -4*b(t) + 5*q(t). Is i(-6) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 7*r + 4. Let b be x(-5). Let c be 18*(1 + 10\/b). Let g = -6 - c. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 158.5 + -159. What is the fourth biggest value in -0.1, -0.04, r, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2015965\/6 or -335995?\nAnswer: -2015965\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83323807 is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 34078303 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 0 - (-3 + 4) - -103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = h - 500, 7*h - 2*h + 506 = 3*d. Suppose -9*m + d = -805. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 47 + 177. Suppose -165*k + 159*k = -126. What is the greatest common divisor of k and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 358*a**2 - 1396*a**2 + 354*a**2 + 361*a**2 - 57*a**2 + 363*a**2.\nAnswer: -17*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of k**4\/12 + k**3\/6 - k**2 + 3*k. Let v be t(3). What is the second derivative of 4*i**5 + 4*i + i - v*i**5 wrt i?\nAnswer: -120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of j**4\/12 + 2*j**2. Let g(y) be the second derivative of 5*y**4 + 1253*y. What is g(t(c))?\nAnswer: 240*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(sqrt(12)*-4) - (sqrt(18) + 1).\nAnswer: -13*sqrt(2)\/4 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 149687976*b**4 + b**3 - 4*b**2 + 173884914*b?\nAnswer: 3592511424*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 150484 and 59751?\nAnswer: 2213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14e7 (base 16) in base 10?\nAnswer: 5351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 13 = -4*l, -5*l + 7 = 3*k - 3*l. Suppose 2 + 34 = k*u. What is the lowest common multiple of u and 22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 581360 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, b: 2, z: 7, k: 4, m: 3}. Give prob of sequence mbm.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**2*(z**(1\/3)\/z)\/z assuming z is positive.\nAnswer: z**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -6*x**3 - 3*x - 8. Let p(n) = 13*n**3 + 7*n + 17. What is -9*i(t) - 4*p(t)?\nAnswer: 2*t**3 - t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -108, -6, 0.2, 0.3, 1097?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -9*t + 7. Let p be m(-5). What is the tens digit of (2\/(-4))\/((-2)\/p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 647.223 months to millennia.\nAnswer: 0.05393525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 51447 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 8 - (-20 + 10) - -2 - -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*2*sqrt(9))\/(sqrt(18)\/sqrt(96)).\nAnswer: -8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2*f = -8, -3*r + 2*r + f = -6. Let j be 2\/r - (-33)\/2. Let p = j + -10. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7925737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 151 - 150.96. Which is the closest to -1? (a) 0 (b) -3 (c) q (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12\/24)\/((-2)\/(-4)). Which is smaller: q or 2\/43?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.2 + -1. What is the closest to 2\/3 in -0.2, -3\/7, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1 (b) 0.2 (c) 71 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1777\/5 (b) -4\/9 (c) -229 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -55 + -4636?\nAnswer: -4691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 139028*u + 834156. Determine j(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) -1\/4 (b) 1\/9 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) -4 (b) -0.06 (c) 0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t + 9. Let w(u) be the third derivative of 3*u**2 + 0 + 2\/3*u**3 + 0*u. Let s(f) = -9*w(f) + 4*z(f). Let l(c) = -2*c**2. Calculate s(l(x)).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 21\/24*6*4\/3. Let n(x) be the third derivative of -x**5\/60 + x**4\/3 - x**3\/6 - x**2. Let h be n(k). Solve 5*c - 5 = 5*v, h*v = 2*v - 4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (84\/36)\/(1050\/(-6750))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.06 - 0.56. Suppose 25 = 5*y - 5. Let i(p) = p**2 - 5*p - 8. Let n be i(y). What is the second smallest value in v, 1, n?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4120)\/88 - 6\/33. Let x(o) = -6*o**2 - 9*o - 19. Let y be x(-3). Which is greater: f or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 12:00 PM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 3:55 AM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34042?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 504 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -238 - -228. Let h(y) = -y**3 + 6*y**2 - 4. Let g be h(6). Let q = p - g. Which is the third smallest value? (a) q (b) 3\/7 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -147*h - 59 - 2218*h**4 - h**2 + 2055*h**4 + 147*h as b*h**2 + j*h**4 + l + d*h + f*h**3 and give j.\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.012228139 rounded to 4 dps?\nAnswer: -0.0122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {z: 2, h: 4, f: 1, v: 6}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9568 - -9578. Put -4, 5, -61, t in decreasing order.\nAnswer: t, 5, -4, -61","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000002849 rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67183.23 millimeters to nanometers.\nAnswer: 67183230000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**0)**(-4\/9))**(2\/41)\/(((((j**(-2\/9)\/j)\/j)\/j)\/j*j)\/j*j**3*j**(-4)*j*j**(-3\/2)) assuming j is positive.\nAnswer: j**(103\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 67756 and 104.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 3)*(-1 - 1 + 3)*(-1 + 3 - 1)*(3*m**2 - 7*m**2 - 5*m**2).\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -512, -524, -538, -554, -572, -592, -614?\n\"Answer: -v**2 - 9*v - 502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.051691 rounded to 3 decimal places?\nAnswer: -0.052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17469 and 343575?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + 6*j - 26. Let k be w(-12). Suppose -49*y = -k*y - 96. What is the greatest common factor of 12 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 2*n**2\/13 + 512*n\/13 - 24354\/13 = 0?\nAnswer: -297, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -2589592137277.5 and 14.\nAnswer: -2589592137263.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k + 3*k - 4*k**2 + k.\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/6 and 30\/666473.\nAnswer: 3998838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 262001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 15451 (base 6) to base 4\nAnswer: 213313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 111514 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-68)\/102 - 16\/(-15))\/(8\/(-40))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13892161 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/22 and 4\/(-24)*(-3)\/(-9).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9.5 + 10.95. Let p = 0.15 - z. What is p rounded to the nearest integer?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2000289 divided by -1459?\nAnswer: -1371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 15651.12905 from 188984.\nAnswer: 173332.87095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = -2*s + 49. What are the prime factors of (s\/(-28) + (-3)\/(-7))*296?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by 31.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 625085421?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 8:41 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.67 - 2.77. Put w, 5\/2, 4, -1\/3 in descending order.\nAnswer: 4, 5\/2, w, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18 (base 9) to base 2.\nAnswer: 10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5705517258?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-96)*-4*2. Sort -0.5, -0.2, x, -0.3.\nAnswer: -0.5, -0.3, -0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10080)\/641088)\/((-10)\/36)?\nAnswer: 3\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -9*s - 150. Let t be z(-17). Suppose 0 = 4*q + t*x - 570 + 230, 5*q - 5*x - 460 = 0. Does 8 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2*z - 6. Let m(d) = d**3 + 5*d**2 - 2*d - 5. Let t be (-4)\/(-12) + (-32)\/6. What is the remainder when m(t) is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 16 = 1110*f - 1106*f, -f = -5*p + 15 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = 54*m - 1714 - 1575, 2*m - 74 = 5*d + 73 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -118\/5 (c) -11 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + (0 - 3))\/((-24)\/64). Suppose 5*y = 3*y + 32. Calculate the highest common divisor of i and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -179 - (-64 + -119 + 79).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0553344 + -0.05562. Round j to five dps.\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*l*n**3 - 9*l*n**2 - 2*l*n + 6*l - 810725*n**3 - 22*n**2 - 6 wrt n?\nAnswer: 12*l - 4864350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 8:42 PM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-5))\/(90\/25)*18?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3511, -3528, -3571, -3652, -3783, -3976?\nAnswer: -4243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-31 + 24)*973*-2 - 3.\nAnswer: 13619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/5)\/(3\/(-60)). Suppose -4*n + 3*g + 38 = 7, -4*g = 2*n - j. Is 5 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38073.\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2590 and 890?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.02 - 0.02. Let z = 3.7 - c. Put z, 1\/3, -1 in decreasing order.\nAnswer: 1\/3, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 77*d - 10. Let g be s(-7). Let v = -8 - g. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 27 = -4*c, 0 = -0*c + 3*c + x - 17. Suppose -c = -3*n, 4*n - 192 = -v - 37. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o - 309536020*o**2 - o + 309536032*o**2.\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (600\/(-204))\/((-216)\/7344).\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 0 = o - 1, 4*t - 3 = -3*o. Suppose -4*f + 20 = f. Suppose 0*n + f = n. Put 3, n, o in decreasing order.\nAnswer: n, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**3 - 6*x**2 + 56*x + 176. Let z be o(-5). Let h = -2.9 - -0.7. Which is smaller: z or h?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2\/9*j**3 - 2\/9*j**5 + 0*j - 2\/3*j**4 + 2\/3*j**2 + 0 = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 65 + -15. Suppose d + r = 6*d. Is 8 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/(-3) + 94\/5 + -5.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -2*z**7\/105 - 8*z**6\/25 + 43*z**5\/25 - 2*z**4 + 300*z. What is l in x(l) = 0?\nAnswer: -15, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -134120 + -14243?\nAnswer: -203413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 4.7. What is the nearest to 1 in 0.4, a, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c. Let t(u) = -63*u. Calculate -42*k(r) - t(r).\nAnswer: 21*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 276 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*p*u**3*v**2 + p*u*v**3 + 24*p*v**3 + 6*p*v**2 + 5620426*u**3*v**3 + 2*u**2*v**3 - 904*u**2*v**2 wrt u?\nAnswer: 24*p*v**2 + 33722556*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12385*v**2 + 24770*v**2 - 12390*v**2 - 3*v.\nAnswer: -5*v**2 - 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1187 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 253*r - 9063. Calculate w(36).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d, 1 s, and 1 h when four letters picked without replacement from ohhdhoomhdhsmmd.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3 + 67 = 2*k, -2*x + 64 = 2*k. Let c = 37 - k. Solve -9 - 16 = 5*m - c*i, m - 5*i = -13 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**5*x)\/x)\/x*x*x**35*x assuming x is positive.\nAnswer: x**41","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 437 + -435. Let p = 1 - 1.5. Let x = 0.2 + 0.3. Which is the biggest value? (a) p (b) x (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-32)\/144 + (-16)\/(-18)*-2. Let i = 0.1 - 0.1. What is the closest to i in -2\/9, u, -0.5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 401.9886 millilitres to litres.\nAnswer: 0.4019886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 341 - 11 = -5*a. Let k = -62 - a. Solve k*m + 6 = m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ussmvmuvmms. Give prob of sequence mmm.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-24\nAnswer: 9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 5*n - 44363 = 0, -4*d - 26*n = -29*n - 44373. What is the hundreds digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -5*b**3 - 21*b**2 - 6*b + 5. Calculate z(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j = -71 + 11. Suppose 0 = 5*n - 11 - 4. What is the remainder when j is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10028\/5, 0, -1\/2, 1\/2, 30 in descending order.\nAnswer: 30, 1\/2, 0, -1\/2, -10028\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence semj when four letters picked without replacement from {s: 1, e: 1, m: 6, j: 1}?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31.233*-0.2.\nAnswer: 6.2466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14636 = 5*v + n, 17*v - 18*v = 4*n - 2931. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2. Let f(o) = -5*o**2 + 4*o - 1. Let k(u) = 6*d(u) + f(u). Let v be k(-5). Suppose w = -1 + v. Calculate the remainder when 7 is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 67*k**2 - 217*k**2 - 284*k + 4*k**3 - 183*k**2 + 61*k**2 + 552.\nAnswer: 4*(k - 69)*(k - 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27*s**3 + 503*s - 138201 wrt s.\nAnswer: 81*s**2 + 503","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4302, 18156, 41248, 73578, 115146?\nAnswer: 165952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1250.6159747 to 1 decimal place.\nAnswer: -1250.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4 - 117*u**3 + 4203*u**2 - 46139*u - 50460.\nAnswer: (u - 60)*(u - 29)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/3)*q)\/q**4 assuming q is positive.\nAnswer: q**(-11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0991 and -931.\nAnswer: 92.2621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 32773, 65514, 98265, 131026, 163797?\n\"Answer: 5*t**2 + 32726*t + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*l = 22*l - 865. Let i = l - 1213\/7. Let t = -5 - -6. Which is greater: i or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -14 - 49. Suppose 8*f = f + l. What are the prime factors of (-1048)\/(-18) - 2\/f?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -20*1902\/132 - 2\/(-11). Is 1 - p - (-12 + 10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(1\/8)\/r)\/r)\/r**(3\/4))**(-24) assuming r is positive.\nAnswer: r**39","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7, -22, 11, -1\/9?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002368935 rounded to 7 dps?\nAnswer: -0.0000237","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, s: 11}. What is prob of sequence oss?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c = -5*c - 3*d + 18, 14 = -3*c + 2*d for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 72\/7, -2, -2\/49, 2\/3, -1 in ascending order.\nAnswer: -2, -1, -2\/49, 2\/3, 72\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 145*w - 8405. Determine v(58).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*z - 128611047 = -128610919 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -v**2\/7 + 321534*v\/7 - 25846028289\/7 = 0.\nAnswer: 160767","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -305? (a) 2 (b) -0.3 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-5\/4)\/s*s*s**(-8)\/s)**(-9\/2) assuming s is positive.\nAnswer: s**(333\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 5*v - 4. Let p be d(2). Let t = p + -16. Let x = t - -12. Sort x, -5, -2 in increasing order.\nAnswer: -5, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z**3 - z**2 - 3*z - 1. Let l(o) = -o**2 - 2*o + 72. Suppose -3*r - 3*r = 0. What is the remainder when l(r) is divided by t(-2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2818620289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 70*j - 1 = -66*j, -2*j - 29 = -a - 6*j for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 + 7*v - 9. Let t be h(-8). Let y be t + 0 - (6 - 17). Let f(k) = k + 1. Let r(q) = 6*q + 6. Determine y*f(j) - 2*r(j).\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -56a556 (base 13) to base 9.\nAnswer: -3765044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hjj when three letters picked without replacement from {u: 1, x: 2, g: 2, v: 5, h: 2, j: 5}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 - -24. Let s be (5\/x)\/((-16)\/1152). Let l = s + -125. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-1) - 15\/(-1). Let g = -11 + k. Let l be -1 + ((-5)\/(-2))\/(27\/54). Solve l*x = -g*j - 2 - 2, -x - 1 = -4*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -219b - 4?\nAnswer: -21a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -7) + -1 - -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/9 - (-9)\/36*1*0.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-4))\/1*((-144)\/12 + 14). Let u(c) be the third derivative of 0*c + 0 - 6*c**2 + 1\/75*c**5 + 1\/15*c**4 + 2\/15*c**g. Let u(a) = 0. Calculate a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240 = -40*t + 25*t. Solve t = -2*a - 2*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 4*m**2 + 8*m - 4. Let q = -24 + 28. Let y(b) = b + 4. What is the least common multiple of f(-6) and y(q)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -69*f + 3. Let y be m(3). Let l be (-92)\/y - 1\/3. What is the closest to -1 in -3, -0.1, l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - x + 15. Let j(t) = -t**2 + 23*t + 281. Calculate the remainder when j(28) is divided by r(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 96333, 96335, 96337, 96339?\n\"Answer: 2*s + 96331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -433.57 + -171.04. Round l to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 2*l - 7. Calculate n(5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -2941, 3, 46\/9?\nAnswer: -2941","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3656019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 52 and -231161385360?\nAnswer: 231161385412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 6*x. Let y(b) = b**2 - 1. Calculate k(q) + 2*y(q).\nAnswer: 2*q**2 + 6*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*t**2 + 4*t**2 - t**2)*(8 + 34 + 3)*(-2*t - 2*t + 3*t).\nAnswer: 135*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 10*w**2 - 5*w. Let r(u) = -u. Let a = -893 + 892. Determine a*q(t) + 5*r(t).\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1301219?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 493272 and 95625?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1572744cm to meters.\nAnswer: 0.001572744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 12*q = u - 28, 4*u + 4*q - 32 = 0. Solve -u*n - 22 + 37 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -4*p - 22. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*o + 13*o + 10 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6899741 (base 10) in base 13?\nAnswer: 15776b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*a - 176 = 4*z, 1486*a - 1481*a - 113 = 4*z for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 409625673?\nAnswer: 3, 127, 1075133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 36277 = -2*s, 5*s + 21751 = -4*m + 7*m. Let i = -4688 + m. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -1 - (-10 + 10))*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = -d + 3*r, d + 2*r = 6*r + 124. What is the greatest common factor of d and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 198425460 to the nearest integer?\nAnswer: 583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-80)*9*8\/(-36)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + 6*p - 4. Let m(a) = -3*a**2 - 19*a + 13. Let f(c) = -7*h(c) - 2*m(c). Calculate the remainder when 13 is divided by f(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 5 = 5*a, 49*a - 51*a - 2*q + 10 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*i = -5804 + 4748 for i.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.026 (b) -6.3 (c) -3 (d) 0.3 (e) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*12120.\nAnswer: -12120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9.7 - 4.8. Let r = 4.8999946 - a. Round r to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4299*p + 29537 = -56443 for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/5 (b) 0.14 (c) -19366 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**2 + 100*v + 220.\nAnswer: -5*(v - 22)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94 divided by -6.\nAnswer: 47\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 195378 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 - 32*k - 31. Let h be d(33). Let t(q) = -5*q**2 + 2*q - 1. Calculate t(h).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -1\/2*t**2 - 7 - 2*t - 1\/48*t**4 - 5\/24*t**3. Factor a(g).\nAnswer: -(g + 1)*(g + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -216 (b) -4 (c) 6\/281 (d) 2\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 122.9906 - -0.0094. Which is smaller: -1 or a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8801711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-8))\/(1\/1)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-32)\/5*(-4)\/(4\/(-5)). Let u be 1*3*o\/(-3). Suppose -22*g + 26*g + u = 0. Let b(s) = -s**3 - 9*s**2 - 7*s - 8. Calculate b(g).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -115 - -114.53. Let y = 0.03 - l. Let b = 86\/3 - 29. What is the third smallest value in b, y, -1\/9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.4 - 2.4. Let r = -9.8 - -8. Let u = r - a. What is the closest to 0 in -1\/3, u, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 88 + -80. Solve 4*c + 2*d = 0, -4 = 3*d + b for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -23*t + 17*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0692 - -0.2308. Let a = 6 + -3. Sort w, a, -3\/8 in descending order.\nAnswer: a, w, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4225426123 to the nearest integer?\nAnswer: 65003","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -319006*w**5 + 2*w**2 - 763*w - 12?\nAnswer: -19140360*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-84 - -89) + (1 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 5*b**2 + 3*b - 2. Let w = 2 - -2. Suppose 0 = -2*l - w*d + 2, -18 = l + 3*l - 3*d. What is the units digit of v(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*l - 5*q, 4 + 0 = 4*l - 4*q. Suppose -l*y + 26 = 5*z + 9, 0 = -5*z - y + 16. Solve -2 = z*o - o, -5*g = -o - 6 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 110111010010100010001110011?\nAnswer: -110111010010100010001101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*n - 53*n + 7*n - 19*n)*(-2 + 3 + 1)*(0*n - n + 6*n) to m + b*n + j*n**2 and give j.\nAnswer: -590","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*n = 51*n + 27. Sort -0.2, n, -1.1 in descending order.\nAnswer: -0.2, -1.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -2000?\nAnswer: 1664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -73213 + 4539103\/62. Find the common denominator of s and 97\/10.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hscshiisciiibcfiis. Give prob of picking 1 s, 1 f, and 1 h.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 5*g + 315, -z + 3*g + 14 = -41. Is 13 a factor of (-1 + z\/2)*2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -145986, -28, -30 in decreasing order.\nAnswer: -28, -30, -145986","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61604, 61550, 61496, 61442?\nAnswer: 61388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 4*p + 2 = 0, -4*t - p = -0*p - 11. What is the biggest value in -1, t, 2\/157?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 183298624 to the nearest integer?\nAnswer: 13539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*m + 45594 = -5*m. Suppose 0 = -3*u - 4*d + m + 547, -4112 = -4*u - 4*d. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11684 = 10863788*n - 10864042*n for n.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -818, -1630, -2442, -3254?\nAnswer: -4066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**4 - x**3 + x**2 - 1. Let s(u) = 84*u**4 + 4*u**3 - 2*u**2 - 69. Let t(m) = -4*r(m) - s(m). What is the first derivative of t(g) wrt g?\nAnswer: -352*g**3 - 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a minute in seconds?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (1 + -2 + sqrt(44) + sqrt(220)\/sqrt(5) + sqrt(44) + 2)**2.\nAnswer: 12*sqrt(11) + 401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 3:58 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1, -2414\/613, -0.4, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9591, 9453, 9305, 9141, 8955?\nAnswer: 8741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74, 267, 600, 1079, 1710, 2499?\nAnswer: 3452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p**3 + 21*p**2 + 36*p + 400. Give h(13).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*k**3 + 36*k**3 + 152 + 160 - 2*k - 313 + 21*k**3 in the form c*k**2 + n*k**3 + i*k + b and give n.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 136622 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.6 (b) 3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 PM and 4:23 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -461*f**3 + 8*f**2 + 44. Let o(t) = -461*t**3 + 6*t**2 + 43. Let q(r) = -4*o(r) + 3*w(r). Find the first derivative of q(n) wrt n.\nAnswer: 1383*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -45 (b) 3\/7 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*g**2 + 101*g + 51*g - 62*g - 3*g + 3*g - 2*g**2 + (g**2 - g**2 - 2*g**2)*(6 - 1 - 3) - 3*g**2 + 15 - 15 to c*g**2 + v*g + l and give v.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612)*-1 + sqrt(612))*1 + -3 + 3)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -84? (a) -0.5 (b) -3 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 4*p + 12 = -14, -q + 3*p = 7. Suppose -2*v = -i + 7, -i + q = -v - 2. Suppose 174 = i*c - 5*c. What is the highest common factor of c and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/12 in -3, 4\/9, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 l when two letters picked without replacement from {l: 6, y: 6}?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6838.068 - -6804. What is s rounded to the nearest integer?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*u - 4*u - 3*u)*(u**2 + 12610*u - 12610*u)*(4*u - 3*u + 0*u) to the form w*u**2 + p*u**3 + n + f*u + y*u**4 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, t: 7}. What is prob of sequence tl?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**13)\/((w*w**10)\/w*w))\/(w**4\/w)**(7\/5) assuming w is positive.\nAnswer: w**(-6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 2:07 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -5*o + y, -3*o - 2*o + 9*o + 3*y + 114 = -7*o for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*p**3*r - p**3 + 11*p**2*r - 6187*p**2 + 3276*p*r + 5263*p wrt p.\nAnswer: -108*p*r - 6*p + 22*r - 12374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**5 + 2*t**4 + 4*t**3 + 2*t**2 - t. Let y(c) = -c**5 - c**4 - c**3 - c**2. Let p(z) = 3*l(z) + 6*y(z). Suppose p(q) = 0. Calculate q.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2847*186077\nAnswer: -529761219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(7) + -2 + 1 + (3*sqrt(42)\/sqrt(6))**2).\nAnswer: -248 - 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1805 and 15275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 AM and 12:48 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*1*(36\/(-20))\/9.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 640 and 2220?\nAnswer: 71040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uubzihzbiuizoib. Give prob of picking 1 h, 1 u, 1 z, and 1 o.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -97? (a) 3 (b) -15 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence egee when four letters picked without replacement from {e: 6, g: 12}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -4*l + 2304, 0 = -3*b - 0 + 12. What is the hundreds digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 4*n + k - 1213, 0 = 4*n - k - 1608. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 14 (c) -2\/627 (d) -1 (e) 1\/7 (f) 0.8 (g) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(((-98)\/49)\/((-976)\/24))?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -13310 times -35.447?\nAnswer: 471799.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2605, 20755, 70011, 165925, 324049, 559935, 889135, 1327201?\n\"Answer: 2592*w**3 + w**2 + 3*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = m + 3*g, -5*m = -m - 4*g - 4. Is 2 bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -855249 greater than or equal to -397?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 154288, 308533, 462776, 617017, 771256, 925493?\nAnswer: 1079728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**3 + 3935*i**2 + 31720*i + 63600.\nAnswer: -5*(i - 795)*(i + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192 is divided by 65?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18\/1883 or -1?\nAnswer: 18\/1883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 12) to base 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-10)*15600\/(-720).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 25\/4 of a minute?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5517.912 kilograms?\nAnswer: 5517912000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-56)\/3*(-45)\/60. Suppose 0 = 2*v + 4*x - 2 + i, 3*x = 5*v - 22. Suppose 3*o - 6 = v*o. Solve 2*t + o = 4*t + 4*y, 0 = 4*y - 12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -62 (b) -26236 (c) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1 (b) 69 (c) 2\/5 (d) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1761 + 790 = -210*j - j - 614 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -23*f - 4. Suppose -2417 + 1237 = -10*u. Calculate the remainder when u is divided by z(-3).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8425627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1293 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 314*k - 25. What are the prime factors of u(3)?\nAnswer: 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*c + 19 = -20 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (4 - 11)) + (-18 - -9)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3432?\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02*-7646.\nAnswer: 152.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 = 4*a - 70 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 37399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -3*j + 4. Let l(d) = d**2 + 7*d + 22. What is the smallest common multiple of l(j) and 36?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -73*r + 75*r - 8448. Suppose m + 3*n + 3171 = 4*m, -4*m = -2*n - r. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4347, 8726, 13105?\n\"Answer: 4379*z - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 10*v**2 - 10*v + 1. Give o(9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -6 + ((-3)\/5 - 234\/(-48)) and -3\/32.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -2*h**2 + 1\/12*h**4 + 0 + 10*h - 1\/2*h**3. What is o(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-1 - (-6 + 2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(5 - (-10)\/(-3))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*((-532)\/20 - -27).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.9, -5, -2800 in decreasing order.\nAnswer: -0.9, -5, -2800","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24722366, 24722367, 24722368, 24722369, 24722370, 24722371?\nAnswer: 24722372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1493247 and 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3770536.\nAnswer: 2, 7, 11, 6121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42 + 39. What is the third biggest value in 0, 2, k, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5991150, 23964632, 53920442, 95858580?\nAnswer: 149779046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3856*q + 211*q**3 - 455*q**5 - 208*q**3 - 23*q**5 wrt q?\nAnswer: -9560*q**3 + 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -269 + 269. Sort 0.4, v, 2\/11, 0.3.\nAnswer: v, 2\/11, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1079460116*l**3 + 2*l + 154896937 wrt l.\nAnswer: -6476760696*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 16\/42 + 2\/7\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 435 - 489 = 9*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 112221102102210100?\nAnswer: 112221102102210012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 154760 and 541660.\nAnswer: 1083320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 2525055?\nAnswer: -2525055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**2 - 299*n - 45. Let r(t) = t**2 - 149*t - 26. Give 4*d(c) - 7*r(c).\nAnswer: c**2 - 153*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-148)\/185 + 2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -8*z**4 - 18*z**3 - 65*z**2 + 205*z + 235. Let u(s) = 3*s**4 + 8*s**3 + 32*s**2 - 102*s - 119. Let q(a) = -5*u(a) - 2*x(a). Factor q(i).\nAnswer: (i - 5)**2*(i + 1)*(i + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1942\/135 or 13?\nAnswer: 1942\/135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14.3 in -3, 2\/13, -5, -493?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - b + 759 = 0, 168 + 781 = 5*f + b. Calculate the least common multiple of 133 and f.\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -32*x**4 + 71*x**4 + 49*x**4 + (-x**2 - 2*x**2 + 4*x**2)*(-x**2 + x - x).\nAnswer: 87*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1248\/(-14))\/(((-360)\/84)\/15). What is the highest common factor of 128 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = 3*v + 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27) + sqrt(108)*5 + -5 + (0 + sqrt(300) + -1 + sqrt(300))*5)**2.\nAnswer: -2660*sqrt(3) + 53167","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 37*v**2 - 5*v - 5. Let y be u(-3). Suppose 2*x + 5*k - y = 0, 4*x - 3*k = -0*k + 647. What are the prime factors of x?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 - (6 + 79) - -15.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -3. Let s be -1 + (0\/c - 0). Let j(l) = -l**2 - l + 1. Calculate j(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5419793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -0*d + 36. Which is bigger: 13 or d?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -44479\/8610 + -1\/1435. Let r = -1318 - -5195\/4. What is the common denominator of v and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2168110?\nAnswer: 2, 5, 7, 47, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11520, 23022, 34524, 46026, 57528?\nAnswer: 69030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -606 < 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 5064?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10111112002 (base 3) in base 9?\nAnswer: -114462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 111? (a) 1\/2 (b) 42\/5 (c) -0.09 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4845022.\nAnswer: 2, 7, 13, 3803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 746 = 2*a + 740 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 103\/2 + -50. Let x = 0 + 0.2. Which is the second smallest value? (a) j (b) x (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 2*p = -2*p + 3, 0 = 3*i - 2*p + 3. Let j(m) = 71*m - 88 - 93 - 29*m + 183 - 35*m. Give j(i).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*6*((-53)\/(-6) + -9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39 + 41. Suppose v*b = -3*a + 14, 4 = -2*a - 0*b + 2*b. Suppose a*g - 49 = -5*g. What is the remainder when 11 is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 j when two letters picked without replacement from {n: 1, f: 1, i: 2, j: 2, a: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1924*o**2 - 2086 - 100 - 1851*o**2 - 15*o**3 with respect to o.\nAnswer: -45*o**2 + 146*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/2, 0.3, 3.4, 11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -2*v**4\/17 - 18*v**3\/17 - 36*v**2\/17 = 0.\nAnswer: -6, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**3 + 2 - 2 - o**3 + o**3 - o**3 + (-4*o - 3 + 3)*(-2*o + 2*o - 2*o**2) - o**3 + 4*o**2 - 4*o**2)*(1 - 1 + 3)*(5 + 2*o - 2 - 5).\nAnswer: 48*o**4 - 48*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004799254 rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**2. Suppose -6*h - 2*h = -72. What are the prime factors of o(h)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*l = -126, 2 = -5*l + 7. Suppose 5*h = 28 + f. What is the greatest common divisor of 162 and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -114, 581, 3536, 10221, 22106, 40661?\nAnswer: 67356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x*x\/((x*x**5*x)\/x)*x*x**1)\/((x*((x*x*x**(-2\/7))\/x)\/x)\/(x\/(x*x\/x**(-1\/3)))))**(-43))**(-1\/2) assuming x is positive.\nAnswer: x**(-1376\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 d when two letters picked without replacement from {k: 1, m: 4, h: 1, l: 2, q: 2, d: 2}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*1 - (9 + -33 + 15). Suppose 10 = 3*u + x - 0, 0 = -3*u + 2*x - 2. Solve u*k + h = -2*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47.2 * -12.5258\nAnswer: 591.21776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 - -20. Sort -2, -0.1, r.\nAnswer: r, -2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*n**2 - 16*n**2 - 25*n**2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 661671 and 125652?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5*w = 22, 0*c = 5*c + 4*w - 35. Suppose c*u + 3 - 9 = 0. Let r be ((-10)\/(-3))\/(u\/3). Sort r, 4, 0 in descending order.\nAnswer: r, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2380181442 to the nearest integer?\nAnswer: 1335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4127767 to the nearest integer?\nAnswer: 2032","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.043 + -0.227. Let o = 0.03 - u. Which is the third smallest value? (a) -4 (b) o (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 4*i**2 + 2*i + 2. What is the remainder when 47 - 0 - (-3 + -3) is divided by j(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 3 = 3*j. Let s be 2 - (-2 + 2\/j). Suppose s = 3*g - 2*g. Which is smaller: 1\/2 or g?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/22, -6, -2\/7, -0.3 in decreasing order.\nAnswer: -3\/22, -2\/7, -0.3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uggguggguugguugu. Give prob of picking 2 u and 2 g.\nAnswer: 27\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 584708481 is divided by 29.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 424857212 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*b**2 + 2*b**2 + b**2 + 5*b**2.\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/5*d**2 - 3\/5*d + 1\/5 = 0. What is d?\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/1*(-16)\/(-12). Suppose -5*y + 0*y = c - 34, 3*y - 102 = -m*c. Let j be -109*c*7500\/18. What is j rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 513955.9mm?\nAnswer: 513.9559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/4 + -2)*-2. Calculate the remainder when (2 + 6*2)\/2 is divided by y + 1 + (3 - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -5, -0.5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 66*i**2 - 194*i - 314. Calculate u(-63).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8609646 to the power of 1\/2, to the nearest integer?\nAnswer: 2934","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117 = 3*d + r, 0*r - 25 = -d - 5*r. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165816\/(-2820)*135\/162?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of -i**7\/42 - 7*i**6\/24 - 5*i**5\/6 + 60*i**2. Find g, given that o(g) = 0.\nAnswer: -5, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 2*d + 2. Let f(x) = 4*x**2 - 7*x + 7. Let i = 16 - 22. Let p(b) = i*f(b) + 21*j(b). Factor p(m).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 901058306 to the power of 1\/2, to the nearest integer?\nAnswer: 30018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5382)\/161 - -32)\/((-23)\/(-322)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5996 and 68373887?\nAnswer: 1499","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2041*d*q + 5452*d - 51887923*q wrt d?\nAnswer: -2041*q + 5452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.04627 - 5.04627. Sort v, 1, -1, 0.074 in increasing order.\nAnswer: v, -1, 0.074, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/1124 and -93\/494?\nAnswer: 277628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -10590840 divided by 4\nAnswer: -2647710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08747025 rounded to 2 dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-4) + 1\/(-4). Let y = i - -2. Suppose -8*q = -5*q - 4*h - 19, y*q = -2*h + 8. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 24 = -2*g, 0 = -5*f + 3*g - 0*g + 21. What is the remainder when f is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 243 and 6?\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33 or -38?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 165323 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2170 - 2162. Let s be (-4)\/26 + 4\/26. Suppose -2*b + 5*a + 48 = s, 3*b + 3*a - 14 - 16 = 0. What is the remainder when b is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 0 = -5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 75121720*q + 260653081 wrt q.\nAnswer: 75121720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 AM and 2:01 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 299, 0.0396, 0.0252 in decreasing order.\nAnswer: 299, 0.0396, 0.0252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*t + 67912 = 123*t + 50*t + 633*t for t.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3\/67544 - 9996335\/3985096. Let u = -7499\/4189 - z. Calculate the common denominator of -58\/9 and u.\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -17*w. Let u(z) = -8*z. Let g be (102\/9)\/(82\/(-21) + 4). Let m = g - 115. Give m*y(c) - 9*u(c).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -3*v**2 + 3*v + 4. Let r be z(3). Let h = r - -17. Let l = 5 - h. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 18*z + 56 - 180 + 5*z + 217. Determine h(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 23*z**3 - 2*z**2 + z + 6. Let x be m(3). Suppose -4*g - 3*f = -367 - 460, -x = -3*g - 5*f. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71a (base 16) to base 15.\nAnswer: 813","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-5))\/(((-168)\/(-35))\/(-12)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 711 + -2113\/3. Which is greater: b or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5876.8 + 4662. Round o to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79635*k - 20*k**3 + 79635*k.\nAnswer: -20*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 u when two letters picked without replacement from {p: 7, f: 3, u: 8}.\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7514*q + 59685 = 7516*q - 38821. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3115.\nAnswer: 5, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from reremeeerr. Give prob of picking 3 e.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.020873021 to 6 decimal places.\nAnswer: -0.020873","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 356191\/9 - ((-1628)\/198)\/37?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 576 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 36251 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**4\/17 + 974*s**3 - 149130*s**2\/17 + 447498*s\/17 - 447552\/17 = 0. What is s?\nAnswer: -8288, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 54388313131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -24343*f + 2*f**2 + 24343*f. Let x(z) be the second derivative of 2*z**3\/3 + 2*z. What is b(x(q))?\nAnswer: 32*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 585 = 5*h - 4*w, 828 = 7*h + 2*w. Is 123 greater than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8431 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 281\/4 + -207\/4. What is the common denominator of 139\/12 + 12\/18 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156 = -4*u + 15*f - 12*f, 51*u = 47*u - 4*f + 236 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dswsf. Give prob of picking 4 s.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**(2\/7)))\/k)**32\/(k**(-1\/3)\/k)**(6\/7)*(k**1*k**(-1\/3))\/(((((k*((k\/(k*k*k**0*k*k))\/k)\/k*k)\/k*k)\/k)\/k*k)\/k*k*k\/k**1) assuming k is positive.\nAnswer: k**(-106\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 103 (b) 0.5 (c) -4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 + 35.5. Let t = -179 - -172. Which is the nearest to t? (a) o (b) -3 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 260, 1066, 2398, 4250, 6616, 9490, 12866, 16738?\nAnswer: 21100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -10*j - 65. Let i be f(-7). Suppose 10*k - i*k = 2310. What is the hundreds digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*k + 15*k = -11304. What is k rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(19) - (4 + sqrt(19) + 2)) + sqrt(114)\/(sqrt(96)*2).\nAnswer: -24 + sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 216 = 9. Suppose -20*y - 237 = -5*h - 24*y, -96 = -2*h - 2*y. What is the greatest common divisor of i and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -52\/3 + 17. Suppose -12*m - 358 = 386. Let c = 62 + m. Which is greater: d or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of -19*o**4\/8 - 12*o**3 - 135*o**2\/2 + 2*o - 22. Let m(w) be the first derivative of r(w). Differentiate m(h) wrt h.\nAnswer: -57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 487827.51346114 - 487788.3517. Let k = -38.761762 + s. Let j = 0.4 - k. Round j to 7 decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302650 (base 7) in base 8?\nAnswer: 144354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4*g = -3*d + 40, 3*g - 7 = 2*d. Let k(r) = -r**2 + 5*r - 3. Let m be k(d). Suppose 2*p - m = 9. Let h(j) = -j**3 + 6*j**2 - 5*j. What is h(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 17*h + 5*h**2 + 27*h + 6*h + (6 - 5 + 0)*(0*h**2 - 2*h**2 + 4*h**2).\nAnswer: 7*h**2 + 16*h + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 77*n - 5. Let i(u) = 40*u - 2. Let q(h) = 5*i(h) - 2*o(h). Let t(g) = -5*g**2. Determine q(t(l)).\nAnswer: -230*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -181*y**3 - 52*y**2 wrt y?\nAnswer: -1086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 498568?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*c - 63 = -3*y, 122*c + 12 = 118*c for y.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31323243 (base 5) to base 16.\nAnswer: 3fbd1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -33 * -29\nAnswer: 957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -19 from -0.263.\nAnswer: 18.737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 1633 - 338. Suppose s = -b + 482. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*g**4 + 5*g**4 + g**4)*(-3 + 3 - 5) + g**4 + 4 - 4 + (g + 3*g - 5*g)*(-2*g**3 + g**3 - g**3) - 4*g**4 + 0*g**4 + 3*g**4.\nAnswer: 12*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(6\/23))**(2\/5) assuming u is positive.\nAnswer: u**(12\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/1 + (-10 - -10).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57764, -115543, -173336, -231149, -288988, -346859, -404768?\nAnswer: -462721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 + 5*d - 33. Suppose 53*x - 48*x = 20. Let t be h(x). Solve -5*n - 20 = m, 4*n = 2*m - t*m - 17 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -3*d**5\/20 + 7*d**4\/12 + 3*d**3\/2 - 17*d**2\/2 - 11*d - 2. Let h be j(-4). Which is smaller: 250 or h?\nAnswer: 250","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + (-5)\/(-60)*321\/(-2). Which is smaller: u or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 247960?\nAnswer: 2, 5, 6199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 0. Let z = -2 - -4. Let t = 55\/336 - 1\/48. Which is the closest to z? (a) 0.1 (b) t (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 6. Let o = 4 + -4.4. Let u = 5.4 + o. Which is the closest to 1? (a) j (b) u (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2*m - 6 = -0, -5*v - 2*m + 2 = 0. Let z be (-24)\/(-14) + v\/7. Find o, given that 3*o**2 + o + 2*o**z - 3*o**2 = 0.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-23 + 17 - -7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 98 + -296\/3. Which is the biggest value? (a) -4 (b) 4\/5 (c) w (d) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/8 + 39*g\/8 - 19\/4.\nAnswer: -(g - 38)*(g - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-33222)\/(-12656))\/(48\/64)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4232 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k + 8*k - 20 = 0. Calculate the remainder when -1 - -34*(k + 7) is divided by 19.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(28)\/sqrt(2))\/sqrt(7) + -2 - ((-1 + sqrt(72))*2*-2)**2.\nAnswer: -1170 + 191*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 c when three letters picked without replacement from {u: 1, l: 2, v: 1, w: 2, i: 2, c: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8670 + 8699. Solve 5*t - 26 = 5*u + f, -24 = 4*u for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p - 2*p + 2*p)*(-1 + 3 + 0) - p - 4*p + 4*p - 3*p - 5*p + 3*p + (2 - 3 - 1)*(6*p - p - p).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) - ((1 + sqrt(72))*-4)**2 - sqrt(72)) + (sqrt(72) - (sqrt(72) + -1 + sqrt(72)) - sqrt(72))**2 + -4.\nAnswer: -883 - 216*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 55 - (1 + -1)\/(-1).\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 - 22 - 5*l - 2 + 9*l + 12*l. Suppose -5*k + f + 43 = -2, -k = 3*f - 25. Is z(k) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4628 * -4\nAnswer: -1.8512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7741, -15557, -23395, -31261, -39161, -47101?\n\"Answer: -v**3 - 5*v**2 - 7794*v + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 38*l**2 - 30*l**2 - l**3 + 5*l**3.\nAnswer: 4*l**2*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 25, -m + 6*m = -2*r + 15. Suppose -5*l - m + 625 = 0. Let p = l + -23. List the prime factors of p.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -0.4, -126900?\nAnswer: -126900","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -302.2 and -168.2.\nAnswer: -470.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4338 is divided by 1433.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/11 (b) 2.033 (c) 290 (d) 4 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/2 - 3)*32\/(-432)*(-21)\/(-140).\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 2*m**3\/9 + 12*m**2 - 2*m\/9 - 12 = 0?\nAnswer: -54, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -229*g + 812. Give j(4).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -6*t + 4. Let d(x) = -4*x - 1. What is -4*d(l) - m(l)?\nAnswer: 22*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44792*t**5 + 58*t**4 + 951*t**2 - 4419 wrt t.\nAnswer: -2687520*t**2 + 1392*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -542*b**2 - 324*b + 17. Let w(z) = 125*z**2 + 81*z - 4. What is -3*l(r) - 13*w(r)?\nAnswer: r**2 - 81*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 10*g**2 - 24*g - 7. Let n(j) = 3*j + j - 5 - 9*j. Let t(b) = b**2 - 11*b - 9. Let z(o) = -5*n(o) + 3*t(o). Let q(w) = -2*s(w) + 7*z(w). What is q(7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrvrvrrvrv. Give prob of sequence rvrv.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101011001101010110010111 + 0?\nAnswer: -101011001101010110010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -272414.2?\nAnswer: -544828.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-6\/19)\/(c*c**(-6\/13)*c))**(7\/4) assuming c is positive.\nAnswer: c**(-1603\/494)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3 = -4. Let z = 5 + b. Let t be (-220)\/(-14) - z\/(-14). Solve -5*h - t = -1 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 371 + -217. What are the prime factors of u?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 738859.1 years?\nAnswer: 8866309.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -44013244 + -10131?\nAnswer: -44023430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -4. Let h be (-70)\/(-22) + b\/(-22). Suppose 2*g = -g - h. Put g, -2, 1 in ascending order.\nAnswer: -2, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(2\/7)*g)**(-27)\/((g**(-1\/4)\/g)\/g*g**6\/g))**(1\/6))**(7\/11) assuming g is positive.\nAnswer: g**(-1049\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4109 + 4326 = 7*h. What is the remainder when h is divided by 67?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -22.\nAnswer: -9\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (14\/21)\/((-26643)\/963)\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*x**2 + 1)*(44*x**2 - 44*x**2 + 75*x**3) + 3*x**5 - 4 - 1 + 4.\nAnswer: -147*x**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.574 - 9.574. What is the closest to 0 in 4, 2\/17, 0.7, t?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-2*sqrt(84))\/sqrt(7) - -4*sqrt(1728)*2)**2.\nAnswer: -1880*sqrt(3) + 106057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1583 - 269 + 537 = -82*j + 211 for j.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*x + 2*y, 0*x = 4*x - y - 3. Suppose 3*z = 2*b + 2*b - 9, -2*b + z = -5. Solve w + b = x*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2. Let f(r) be the first derivative of -r**4\/4 + 5*r**2\/2 + 3. Let c(l) be the second derivative of f(l). Give c(y(t)).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-13))\/((-14)\/1183*-13).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -q**6 + 209*q**4 + 3*q**3 - 20*q**2 + 1053*q wrt q?\nAnswer: -120*q**3 + 5016*q + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 11*b + 15 = 0. Solve q - 12 = 4*g, 7*g - 3*g - 4 = -b*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5422, 10832, 16242, 21652?\nAnswer: 27062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2738569*w**5 - 385776*w**2 wrt w?\nAnswer: 164314140*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2433 = -3*a - 4*y - 2461, 2*a + 4*y + 20 = 0 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -554, -336, 1432, 5524, 12714, 23776, 39484?\n\"Answer: 129*g**3 + g**2 - 688*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 10*u = -85. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -90428975 + 181219687699\/2004. Let u = o + 13\/334. Calculate the common denominator of -65\/27 and u.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.5 - 1. Let w = a - 0.2. Let f = 9 - 6. What is the second smallest value in 0.2, w, f?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.534 + 0.51. Let j = -5.976 + t. Let l = j - -7. Which is the third biggest value? (a) 13 (b) l (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 188 - 188. Let p be (-14 + 19)*(1 - a). Solve -2*l = 4*u + 22, -8 = 3*l + 2*u + p for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(102))\/sqrt(6) + 2.\nAnswer: 2 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*k - 21*k - 2*r = -44, -2*k = 4*r + 68. Is 4\/k - (12 + (-365844)\/156) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*62629.\nAnswer: -250516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 296+69507149231\nAnswer: 69507149527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-1178)\/1064 - 4\/(-16)) + 100\/(-14)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-621)\/138*4\/9. Sort -13, d, -5 in ascending order.\nAnswer: -13, -5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 17 = z, -4*j + 4*z - 39 = -7. Let g be 2 + 6\/j*6. Let m = g - -6. What is the biggest value in m, -2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 - 22) + -6 - (-17 - 3).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 645783000 to the nearest one million.\nAnswer: 646000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 10 = -o, v - 4*o = -5*o. Let z be 12\/8*(-118)\/(-3). Suppose v*f = f + z. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 0, -8, -30, -72, -140, -240, -378?\nAnswer: -560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, n: 4, a: 1, f: 2, b: 2}. What is prob of picking 2 f?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 1\/6, -11, -3\/5, 52?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3644 and 799858.\nAnswer: 1822","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61249267?\nAnswer: 61249267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3388207 = -456*d + 3366775 for d.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from nmqqymnqqqmkqqqkq.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21 and 847.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -20 + 0*l + 6*l + 12 in the form g + m*l and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181 = 5*m - 971. What is the tens digit of (m\/1)\/((-2)\/(-4 + 3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 26\/10 + (-18 - -15). Let o = -3\/10 - d. Let p = o + 3\/70. Which is the closest to 0? (a) p (b) -0.5 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 341, 1309, 2921, 5183, 8101, 11681, 15929?\n\"Answer: g**3 + 316*g**2 + 13*g + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 8:57 PM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 - 2*b**2 + 0*b**2)*(b + 0 + 0) + (b**2 - 3*b**2 + 7*b**2)*(32*b - 89*b - 44*b).\nAnswer: -507*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1794*a*b**3*q + 4762*a*b**2*q**3 + 10*b**3*q**3 + 3*b**3*q**2 + 19*b**2 + 2*b*q**2 - 4438*b*q wrt a?\nAnswer: -1794*b**3*q + 4762*b**2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(204) + sqrt(204)*1)*3)\/(sqrt(144)\/((sqrt(1728) - -2*sqrt(1728)) + sqrt(1728))).\nAnswer: 1152*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 223.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55861.\nAnswer: 13, 4297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1087 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 8*u**3 - 7*u**2 - 6*u + 7. Let m(p) = 7*p**3 - 7*p**2 - 5*p + 6. What is 6*h(n) - 7*m(n)?\nAnswer: -n**3 + 7*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 525 + -302. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-79)\/(-51))\/((-2)\/28 + (-12)\/126) - -10?\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2 + 3 + 2*d + 0 - 10. Let v(i) = -2*i + 8. Let b(w) = -6*v(w) - 5*y(w). Give b(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 123 by 3.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 19. Let m = 25 + -5. Calculate the smallest common multiple of d and m.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/495 and -41\/45.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q + 4*q - 2*i - 22 = 0, -q - 4*i = -1 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-7)*p*p)\/(p\/(p*p**1))*(p\/p**8)\/p**(-8))\/(((p*p**2)\/p**9)\/(p**2\/p)**20) assuming p is positive.\nAnswer: p**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - 3*s - 5. Let u be h(6). What is the second derivative of u*q**4 - 429*q + 211*q + 208*q wrt q?\nAnswer: 156*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/10 of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -2*s - 75. Is (-10)\/s - (-173)\/5 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 16674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (13 + 10 + 1)*(-57 + 57 - 25*y**2) as x*y**2 + d + w*y and give x.\nAnswer: -600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 + -24. Let x be 4 + h + 3 + -2. What is the third derivative of 361*r - 8*r**x - 361*r - 12*r**2 wrt r?\nAnswer: -192*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**(-2\/13))*q\/q**(-2))\/(q**(-4)\/(q\/(q\/q**(-1\/2)*q*q)*q)) assuming q is positive.\nAnswer: q**(147\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1041187 or -1041185?\nAnswer: -1041185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 672796 and 18952?\nAnswer: 1345592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 57687, 230731, 519137, 922905?\n\"Answer: 57681*n**2 + n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 1\/4915 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5*s + 4 = 0, -5*d + 5*s + 11 = s. Suppose c + d*c = -4*h + 12, -h - 4*c + 3 = 0. Solve 4*j + 8 = 4*t, h*j = -2*t + 2*j + 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*r**2 - 13*r**2 - 7*r**2 - 12*r**2.\nAnswer: -14*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1203472 is divided by 240288.\nAnswer: 2032","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1076, 1075, 1074, 1073, 1072?\n\"Answer: -l + 1077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2706667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3122 or 3112?\nAnswer: 3122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -524072 divided by -6?\nAnswer: 262036\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5311223 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 3*s - 11 - 25, 5*s + 5*p - 65 = 0. Suppose -5*i - 12 = -10*i - u, 4*i + 4*u - s = 0. Solve i*n - 5*g + 7 = 0, -n - g + 7 = -0*g for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 615*r - 1150*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**0\/((j\/j**(-9))\/j)*(j**(-1\/6))**(12\/13))**(-2\/21))**(-7\/6) assuming j is positive.\nAnswer: j**(-119\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/114*(-6)\/(-4)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -45845*t + 229197. What is p(5)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3 - 978*k**2 + 38417*k.\nAnswer: k*(k - 937)*(k - 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wdaddadngdwddadggdd. What is prob of picking 1 w, 2 a, and 1 n?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -64, -57, -38, -1, 60?\n\"Answer: t**3 - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (5\/(0 - 10)*260)\/(-1) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1391 - 1346. Is j smaller than 47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 526903.5ml?\nAnswer: 526.9035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5.9 in -1038, 3, -18?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152 = -2*o + 4*a, -70 + 304 = -3*o + 3*a. Does 4 divide (-6)\/4*o\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*t + 16*t - 6*t + 18*t as m*t + z and give m.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13127466 and 1221.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of -1\/112*n**8 + 0*n + 0 + 0*n**5 + 2*n**2 + 2\/35*n**7 + 0*n**3 - 3\/40*n**6 + 0*n**4. Factor q(b).\nAnswer: -3*b**3*(b - 3)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 83.70786 years?\nAnswer: 1004.49432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 2. Let i = 159 - 345\/2. Find the common denominator of i and 1 + m - 189\/30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -5*b**3 + 28*b**2 + 17*b - 156. Calculate a(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 44*g + 40. Let x be l(2). Let p = -124 + x. Suppose -5*u + 136 = -u. What is the least common multiple of u and p?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -150*b**2. Let w(z) = -z**2 - 25. Give m(w(t)).\nAnswer: -150*t**4 - 7500*t**2 - 93750","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 5*c + 15 = 0, -5*c - 46 + 56 = -m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2323 + 5346. List the prime factors of v.\nAnswer: 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36119?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, e: 2, p: 2}. Give prob of sequence ee.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.01 - 4.01. Let k = g + 4. Let t(y) = y**3 - 5*y**2 + y - 4. Let x be t(5). Which is the nearest to x? (a) k (b) 4 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.08, -4\/7, 1\/5, 1.07, -5\/2, 14, 1\/7?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 2*p - 0*p. Suppose -2*g - 5*h - 6 = 0, 2 + 13 = -5*g + 3*h. Let r be 6\/g + 6 - -4. Calculate the greatest common factor of r and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -367824 and -1.\nAnswer: 367824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -43e7 + d5?\nAnswer: -4312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*u - a, -4*a + 3*a = -3*u + 2. Suppose u = 8*d - 10*d - 658. Let q = d - -461. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 12, 18?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 3*g**2. Let o(p) = -513*p. What is o(s(r))?\nAnswer: -1539*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -259*g - 9. Let k(n) = -3*n**2. Determine q(k(h)).\nAnswer: 777*h**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-612)\/5610)\/((-69)\/253)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**3 + q**2 - 2*q + 1. Let u be 4\/2 - 0\/(-2 - -5). Give y(u).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 656 = 36*z + 296 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/2736 and -107\/1140.\nAnswer: 13680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -152*w + 2759. What is the ten thousands digit of p(-98)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*2*-3)\/(24138\/(-227970)*34\/(-12)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 110101011001011010011000?\nAnswer: 110101011001011010011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - t**2 + 2*t + 2. Give s(-4).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -93\/5*k + 1\/5*k**3 - 27 + 43\/5*k**2.\nAnswer: (k - 3)*(k + 1)*(k + 45)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**2 - 3159*j - 949404 = 0.\nAnswer: -244, 1297","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, 92.9, 1.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153132670 is divided by 231.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 4.02. Let l = z + -0.0199969. What is l rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-31)\/62)\/((-5)\/4).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 2*s - 10, -42 + 16 = -2*a - s. Suppose 41*d = -a*d - 303050000. Round d to the nearest one hundred thousand.\nAnswer: -5500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, 4, -13, 85, -5, 0, 43 in descending order.\nAnswer: 85, 43, 4, 0, -5, -13, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 24*o**2 + 29*o - 2. Let q be j(-25). Let w = q + 173. Calculate the remainder when w is divided by 41.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 54.4 - 211.4. Sort h, -5, 2\/5.\nAnswer: h, -5, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/342 and -13\/18.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -1 (b) -0.4 (c) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 207 + 138. What is the highest common factor of u and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*j - 2351 = -2670 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j + 15*j = a - 15, 42 = -5*j + 4*a. Sort 47, 5, j in increasing order.\nAnswer: j, 5, 47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 16 + 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-7)*y\/y**(-1))\/(y**(-1)*y)**(9\/13) assuming y is positive.\nAnswer: y**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 289151.276 rounded to the nearest 100?\nAnswer: 289200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of f**5\/20 + 113*f**4\/6 - 117*f**3 + 16*f + 5. What is the second derivative of q(m) wrt m?\nAnswer: 6*m + 452","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of 2*a**3\/21 - 2*a\/7 + 9. Factor k(m).\nAnswer: 2*(m - 1)*(m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 - 5 - 2*m**2 + m**4 + 4 + m**4 to the form w + o*m**2 + b*m + g*m**4 + q*m**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/4*-2*(-4)\/6\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 589, 593, 599, 607?\n\"Answer: z**2 + z + 587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 4*t - t + 113, -168 = 4*t - p. Let v = -23 - t. Suppose -v = 2*u - 6*u. What is the least common multiple of 1 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 + -0.1. Let y = -0.3 + h. Let m be -1*1\/(-2)*2. Which is the closest to m? (a) y (b) -2\/9 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.04511445 and -0.211.\nAnswer: -0.00951914895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -18, -13, 2, 33, 86, 167, 282?\n\"Answer: x**3 - x**2 + x - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3552a - 5?\nAnswer: -35534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4b0791 (base 13) to base 7.\nAnswer: -21206456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3065*a**2*b*j**3 - 968*a**2*b - 6*a*b*j**3 - 20788*a*j**3 - 76*a*j wrt a?\nAnswer: -6130*b*j**3 - 1936*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92182.\nAnswer: 2, 46091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 - r + 12. Let k be v(-5). Let j(y) = y**3 + 8*y**2 - y + 19. What is the tens digit of j(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, h: 3}. Give prob of picking 1 f and 2 h.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**2 + 31*v - 10. What is f(-15)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(52\/(-3718)*-11).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, c: 2, g: 3, j: 9}. Give prob of picking 1 g and 2 j.\nAnswer: 27\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1120122 + 120122?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -211 - -13113233311?\nAnswer: 13113233100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -72.714 times 0.07?\nAnswer: -5.08998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 353?\nAnswer: -361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 0.3, -5, -0.8, 2?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/11*35\/21. Let v = q + -2\/11. Put -3, -1\/4, v in descending order.\nAnswer: -1\/4, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -5, 4.\nAnswer: -30, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1077311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -34321181*n - 21700669?\nAnswer: -34321181","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*a = -43*a - 32*a - 444 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-18)*39\/(-91).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -13 + 5 + 47 - 6*n + 13*n. Let q be m(-5). Let l = 78 + -42. Calculate the greatest common factor of q and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p. Let u(w) = 33529029*w. Give u(r(b)).\nAnswer: -33529029*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15064, 12, 5, 3, -4, 4.\nAnswer: -15064, -4, 3, 4, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.033737581 * -2\nAnswer: -0.067475162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 308\/6 + 2\/3. Let h = y - 40. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 + -4 + -1 - -4. Suppose w*j - 1383 - 5389 = 0. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*m**2 + m**2 + 33*m**2 - 110*m**2.\nAnswer: -39*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**3 + 19*h**2 - 82*h - 6. What is q(-13)?\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + 44\/(-13)*-1. Let u = y + -1\/104. Calculate the common denominator of u and -29\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 766630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18489?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a tonne in grams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81, -183, -287, -393?\nAnswer: -501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of -t**3\/6 - 9*t. Let z(j) = 17*j**2 + 576*j**2 - 3 - 177*j**2 + 3. What is z(b(c))?\nAnswer: 416*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 82 + -655\/8. Let t = -25 + 21. Which is the closest to 2\/3? (a) x (b) t (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40\/1319 + 16028\/6595. Factor y + 46\/5*o - 8\/5*o**2.\nAnswer: -2*(o - 6)*(4*o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 90, 178, 266, 354, 442, 530?\n\"Answer: 88*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(1 - (2 + -2)). Let z be (3 + m)*(-2)\/4. What is the units digit of ((-2)\/z + 4)\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + sqrt(2) + ((sqrt(2) - sqrt(8)) + 1)**2 + sqrt(2) + sqrt(2) - (sqrt(20)\/(sqrt(10) + sqrt(10)*-3))**2.\nAnswer: 5\/2 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -65) + 34 + -44 + -13.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10664 + 10126. Which is greater: -539 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 12344.\nAnswer: -5\/12344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-18 + 10)\/4*3\/(-2). Solve -n*w - 3*o + 7*o + 3 = 0, -21 = 3*w + 4*o for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -778549 (base 13) to base 4.\nAnswer: -22233312310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 1368 = -5*s. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-4410)\/(-9) - -1) + -5 and 216?\nAnswer: 1944","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - (-11 + -1)) + 0. Let i be 4 + (-44)\/12 + 62\/(-6). Let u = o - i. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*y**3 + 3270*y**2 - 104940*y - 130680 = 0 for y.\nAnswer: -6\/5, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 18*d + 75 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 661025 (base 8) in base 5?\nAnswer: 24043332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of -7*w**4\/8 - 11*w**3\/6 + 3*w**2. Is y(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (330\/143)\/(4587\/(-5421))?\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a decade in months?\nAnswer: 1740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 q when two letters picked without replacement from zzzbzmzfzbvqvzqf?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/25 of a gram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 231212200 - -24?\nAnswer: 231212224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5923430?\nAnswer: 2, 5, 592343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -61 equal to -62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*m + 96*m + 0*t + 27 = 54*m - 3*t, 45*m = 5*t + 565 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or -8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 574034286 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.172 - -0.952. What is the third biggest value in g, -1\/372, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 125 + -59. Is y a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 279*i**3 + 115*i**3 + 92*i**3 + 92*i**3.\nAnswer: 578*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -914\/5 or -184?\nAnswer: -184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-2\/3))\/((c**(-2\/37)*c)\/c))\/(c*c\/((c**(3\/16)*c)\/c)*c**(2\/41)) assuming c is positive.\nAnswer: c**(-107323\/72816)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.240267416 rounded to 3 dps?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x**2 - 27*x + 1. Let s(l) = -l - 11. Determine g(s(y)).\nAnswer: 3*y**2 + 93*y + 661","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 864918 and 69407?\nAnswer: 11243934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of -k**4\/24 + 7*k**3\/6 - 4*k**2. Let p be h(7). Solve -5*q - 1 - 4 = p for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + 3*y + 2*y - 3 - 2*y**2. Let n be t(3). Suppose n*z = -6 + 21, -i - 5*z = -42. Calculate the remainder when i is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 6*h - 9. Let j(u) = u - 1. Let y be 2\/(3 - 1)*-1. Let d(z) = 4*z + 1. Let m be d(2). What is m*j(k) + y*l(k)?\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/206664 and -92\/3555.\nAnswer: 3099960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 5*w**2 - 2*w - 8. Let c(m) = m + 24. Let o be c(-18). What is the remainder when 29 is divided by v(o)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 4*q = 8*q + 664, -4*q + 326 = -2*z. Let a = z + 165. Solve o - 3 = a, 0*m - 2*m - 3*o + 9 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 10*a**2 + 31*a - 10. Let o be b(5). Let c(n) = 260*n + 20. Let x(v) = -37*v - 3. Give o*x(h) + 3*c(h).\nAnswer: 40*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 34*x + 230. What are the prime factors of o(7)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 4*k**2 - 4*k. Let w be y(2). Suppose w = -11*t + 76 - 21. What is the third biggest value in -2, 7, -4, t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5798 + 8242.\nAnswer: 14040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 14. Calculate the remainder when (-4)\/r - (-41 + 2) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.22 - -0.08. Let t = -2960272\/5 + 592055. Sort t, -3, u, -17 in descending order.\nAnswer: t, u, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/2)\/(4\/16). Find o such that -4*o**2 + 54*o - 230*o - 1936 + 0*o**h = 0.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 59 (base 12) to base 11.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 42, -1, 3284, 1, 2, -2 in descending order.\nAnswer: 3284, 42, 2, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 5*z + 135 = 0. Is z a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -j**4 + 16540*j**3 - 68343258*j**2 - 410572444*j - 342212645 = 0.\nAnswer: -5, -1, 8273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 2:57 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/15, 27, -1873, 4, -0.3, -11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2, 2, -35, 6\/35, -5?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 686*f - 808 = 652*f - 26 for f.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -4 + 8 + (6 - 1).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 times 0.13\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -2160 < -2155?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 52 - 19. Let q = -22 + 26. Suppose y = 7*d - q*d. What are the prime factors of d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (65\/15)\/(40\/360).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 1. Let p(f) = f + 5. Let n be p(-3). Suppose 97*r = 95*r + 6. Let z(m) = -m**2 + 4*m + 22 - r*m - 20. What is n*z(q) - 6*l(q)?\nAnswer: -2*q**2 + 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvzv when four letters picked without replacement from {z: 3, v: 4}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 r when three letters picked without replacement from frrrrrryrrrryrfyyf?\nAnswer: 11\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.0096*-5.5.\nAnswer: 44.0528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.053? (a) 3 (b) -15 (c) 32 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 99*f*l**3*y + f*l**3 - 163*f*l**2*y - 8*f*y - l**3*y + 2*l**3 + 2*l**2 wrt l.\nAnswer: 594*f*y + 6*f - 6*y + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -1 + 0 + -118 + 115?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(17) - (sqrt(1088)*-1 + sqrt(1088))) + (sqrt(1088) - (-2*sqrt(1088) + sqrt(1088) - sqrt(1088))) + sqrt(1088) - (-2 + (sqrt(1088) + -1)**2)).\nAnswer: -1092 + 49*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -133*g - 1. Let y be z(-2). Let q = 16 + -16. Suppose -3*f - 2*f + y = q. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003016 to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s**3 + 49*s**4 - 608 + 0*s**2 + 606 - s**2 + 24*s**4 in the form p + v*s**3 + c*s**2 + h*s + d*s**4 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/11 (b) 0 (c) -2 (d) -5 (e) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4672 + -41980\/9. Find the common denominator of u and (1\/2)\/((-10491)\/(-28514)).\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35607 is divided by 3951.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -8. Let f(t) = 8*t**2 - 3*t + 1. Calculate the remainder when f(y) is divided by (-4 + 0 - -2) + 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43 + -42.1. Let i = -1.1 - -0.3. Let f = i + x. What is the smallest value in f, -2\/3, 1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000001403 rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2 + i + 3 + i + i. Let p be l(9). Suppose d - p = -3*d. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16575\/450*(-20)\/1530*-9?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7526*o - 4*o**2 + 6*o**2 + 7503*o - 3*o**3 to the form x*o**2 + y*o**3 + d + b*o and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 10:40 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0046751158 rounded to six decimal places?\nAnswer: 0.004675","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -10260\/6019 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -158 times 218\nAnswer: -34444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 566 - 606.5. Let v = 36.5 + a. What is the closest to 0.2 in -2\/5, 23, v, 3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 27 + 22)*(-7*o - 17*o + 7*o) + 3 - 3 - o.\nAnswer: -681*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 14*i + 98. Let k be h(-7). Calculate the remainder when 48 is divided by (-1)\/(-2)*42 + k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 greater than or equal to 59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h**3 - 5*h**2 - 5*h + 5 = 0 for h.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 4. Suppose 31 = 5*p - w. List the prime factors of p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*(-7)\/(126\/12))\/(-6).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 22\/15 of a century?\nAnswer: 1760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of o**2\/2 + 2*o - 10. Calculate g(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/((-35)\/(-17)) - (-2)\/(-5). Let n(u) = u**2 + 2*u - 4. What is n(q)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 175 - 95. Suppose -79*s + d*s + 7800000 = 0. Round s to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8020 + 97*f - 8020)*(f**2 + f**2 + 0*f**2)*(-3 + 5 - 3)*((0*f - 4*f + 3*f)*(-3 + 5 - 3) + 0*f + f + 0*f - 3 - 4*f + 3).\nAnswer: 388*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 - 6 + 1)*(4 + 3 - 2)*(y + 3 - 3 + (-2*y + 0 + 0)*(3 + 4 - 5)) - 3*y - y + 3*y.\nAnswer: 434*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*i**3*s**2*v**3 + 5*i**3*s**2 - 10*i**2*s**2*v**2 + 2*i**2*s**2 - 4*i**2*s*v**3 + 6*i**2*v wrt i.\nAnswer: 12*s**2*v**3 + 30*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 7*p + 85 = -2*p, -3*p = -h. Is 14 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -50\/1203 and -37\/6.\nAnswer: 2406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v**2 + 2937*v - 16*v**2 + 18*v**2 - 1512*v - 1425*v.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kq when two letters picked without replacement from fqcqfczfkc?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -34*d - 4. Let h be f(4). Find the common denominator of (-2)\/22*1*43 and 42\/h + (-1)\/2.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from tcmcqtcmcggtmqttmte.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -234091, 1, -1 in decreasing order.\nAnswer: 1, -1, -234091","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/84*-91)\/(4\/(-8)*1).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 67 = -2*z, -5*l + 35 = 4*z - 258. Calculate the remainder when 237 is divided by l.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/4*(-80)\/(-240)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.28047*-3.478.\nAnswer: 0.97547466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -0*m + 4*m - 6219, 2*m + 5*c - 3127 = 0. Let w = -32551 + m. Round w to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.88 to zero decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -38*l**3 + 9*l + 2. Let a(x) = -37*x**3 + 11*x + 2. Let b(z) = 6*a(z) - 5*v(z). Find the second derivative of b(w) wrt w.\nAnswer: -192*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - 6*f - 3. Let a = 6 + -6. Suppose 73 = 2*k - g, -3*k + 0*g + 5*g + 99 = a. What is the remainder when k is divided by m(8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16030 and 288540?\nAnswer: 288540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -350*z - 198 = -328*z for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2a - b7b9?\nAnswer: -b7e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of -v**5\/15 + 8*v**4\/9 - 14*v**3\/9 + 34*v. Let r(x) = 0. Calculate x.\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3815\/3732 + 9858079\/55980. Let p = -1528\/9 + f. Calculate the common denominator of p and 39\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9542.7 - 1.44\nAnswer: 9541.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**2 - 3*i**2 - i**2 + (-3*i - 3*i**2 + 3*i)*(-2 + 3 + 1) - 30 + 30 + 46*i**2.\nAnswer: 37*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 4 = 3*n + 2*z, -n = 3*z + 6. Suppose n = 53*c - 56*c. Suppose 2*y + 5*p = 56, -y - p + c = -25. List the prime factors of y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1192, 1163, 1124, 1069, 992, 887?\nAnswer: 748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*44\/1254*95.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0*1\/3 + 2. Suppose -g*r + 5 = -r. Solve 2*p - 2*z - r + 19 = 0, -3*p - 15 = -z for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-7)\/(28\/16) + 313 + 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of -a**6\/30 - a**5\/15 + a**4\/6 + 2*a**3\/3 - a**2. Factor y(h).\nAnswer: -4*(h - 1)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.7121 rounded to zero decimal places?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 298 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 304, 340, 394, 472, 580, 724, 910, 1144?\n\"Answer: s**3 + 3*s**2 + 20*s + 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-819)\/364*(-14)\/3.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -49 - -106. Calculate the remainder when a is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -10*j - 17. Let x be a(-5). Let t = 874 - 775. What is the greatest common factor of t and x?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4325 is divided by 1224.\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-5))\/(2\/10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/((((h**12*h)\/h)\/h)\/h*h)*h)*h)**(1\/4)\/(h**(-12\/11)*h**(-21)) assuming h is positive.\nAnswer: h**(1093\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 21*o**3 - 15*o**2 - 233*o - 783. Determine q(-4).\nAnswer: -1435","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - 7*k + 17. Let c be j(5). Suppose 0 = -a, -3*a + c*a - 4 = -2*l. Find the common denominator of -9\/11 and l + (2\/(-8) - (-1903)\/132).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191.95149 rounded to the nearest 10?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 10:04 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 3*n**2 + 22*n - 102. Let z be i(4). Solve 2*q + z = 2*t, -t + 19 = 17*q - 12*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c - 2. Let s be i(-6). Suppose -s*j - 10 = j. Let t = j + 5. Solve 8 = k - t*k - 4*b, -k - b - 3 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 5\/3*z**2 - 80 - 110\/3*z = 0.\nAnswer: -2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i + 116 - 299 - 340.\nAnswer: i - 523","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -684, -1455, -2226, -2997, -3768, -4539?\n\"Answer: -771*x + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - 34*b**2 - 34*b - 18. Let t be w(35). Solve t*x = 37*x + 40 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/9968 and -43\/19250?\nAnswer: 13706000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/27 or -0.01?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -1737\/8, 11, 5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -18*t**2 - 71*t + 9. Let l be h(-4). Solve -9 = -l*y + z, 6 = -6*y + 10*y - 2*z for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w**2 + 18*w + 24. Is 12 a factor of z(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -3\/8, -0.011, -5, -100?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 72980814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r - 3. What is z(-5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 465112 (base 7) to base 13.\nAnswer: 2bc6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = d - 7, -2*d + 9 = -0*d + 5*c. Suppose -3*v + 5 = -d*v. Suppose 32 = 3*p + v. What is the remainder when 26 is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 6 - 21*n + 0 - 4 to l + g*n and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*6*(-8)\/12. Suppose -c + 6*c + 16 = -p, -5*p = 2*c - y. Put p, 3, 5 in increasing order.\nAnswer: 3, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2 and -765632.34 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*b + 23*b + 10 = 0, 0 = -2*k + 5*b + 398. Calculate the remainder when k is divided by 52.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 548819 to the power of 1\/2, to the nearest integer?\nAnswer: 741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3695?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23207 - -23224. Suppose 0 = 5*l - 2*l - 45. Which is bigger: i or l?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n\/(n*n*n\/(n*n**(-12)))*n*n\/n**(2\/11)*(n**1)**50 assuming n is positive.\nAnswer: n**(438\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1069 (b) 4 (c) 28 (d) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - (5 + -5 + 5)) + -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by -3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 125200 and 275.\nAnswer: 1377200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5221*w + t = 5218*w + 26, -4*w = 2*t - 34 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24918, -24866, -24794, -24702, -24590, -24458, -24306?\nAnswer: -24134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.98993 + -0.01007. What is the closest to -77 in -2\/9, n, 5, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -43*o**2 + 35*o + 8.\nAnswer: -(o - 1)*(43*o + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f - 7. Let o be c(5). Suppose 79 = 4*h - 5*u, o*h - 3*u = 2*u + 63. Is 8 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4359)\/21 + 4\/7. Let w = 393 + o. List the prime factors of w.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00042356 rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-6 - 1) - (-3 + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -42b7c (base 15) in base 5?\nAnswer: -23234332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -69*f**3*l**2 + 58*f**3 + 2*f with respect to l.\nAnswer: -138*f**3*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -144615 (base 9) to base 6.\nAnswer: -1522405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-7) + (-593)\/(-7). What is the first derivative of 8*v**2 + 2*v + 30 - m + 2*v**2 - 8*v**2 wrt v?\nAnswer: 4*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**3 + t**3 - 4*t**3 + 2*t + 5*t**2 - 4*t - 6. Suppose -3*x - 8 = -4*z - 7*x, 5 = 3*z + 4*x. Calculate the lowest common multiple of 15 and p(z).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 3*g**2 + 1566651*g + 1566648 = 0.\nAnswer: -522216, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25.1 - 225.9. Let g = 250 + o. Let r = -0.9 - 0.1. Which is the closest to g? (a) 3\/7 (b) r (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-36) - 4\/18. Suppose -2*c + 5*c = -21. Let n be 2 + c*(-4)\/(-10). Which is smaller: j or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.9 + 9.9. Let x = z + -7.9996. What is x rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2\/8 + 12417*h\/2 - 322335\/2.\nAnswer: -3*(h - 16530)*(h - 26)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3748*h + 13. Calculate u(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2. Let d(k) = -132*k - 27. Let u(c) = 19*c + 4. Let x(f) = -4*d(f) - 27*u(f). Give x(l(w)).\nAnswer: 15*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - r - 40. Suppose -14 - r = -2*p. Solve 0 = -3*a - 0 - p for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 102\/5*g + 2\/5*g**2.\nAnswer: 2*g*(g - 51)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -834779 and 13?\nAnswer: 834792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a hour in seconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 4*u - 4, -f - 3*f - u = -16. Sort -2, f, -1.\nAnswer: -2, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 660, -5, 4, 1 in decreasing order.\nAnswer: 660, 4, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - -0.053?\nAnswer: 4.053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express o**4 + o**4 + 1 + 18*o**2 + 4*o**3 - 20*o**2 as p*o**4 + a*o**3 + b*o + s*o**2 + z and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -2*m - 5*v, 60*v = 5*m + 55*v - 30 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of -6 - (2\/(-10) + (4 - 10658\/10))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -98.6 - -99. What is the third biggest value in 2, u, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 2. Solve r - 3*l - 9 = 0, -r - l - g = 3*l for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1984, -1974, -1950, -1906, -1836?\n\"Answer: o**3 + o**2 - 1986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-4)*(-20)\/(-15). Suppose 2*y = -o*y + 20. Suppose 4*k - 20 = -3*w + 20, 60 = 5*w + y*k. What is the remainder when w is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -837, -1184, -1531?\nAnswer: -1878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 2 f, and 1 z when four letters picked without replacement from ffajazabaaaadb.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7275 divided by 2425?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 11*q**2. Let c(t) be the second derivative of 0*t**3 - 1\/4*t**4 + t + 0 + 0*t**2. What is u(c(g))?\nAnswer: 99*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -220*s**3 - 537*s + 218*s**3 + 537*s.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of 0*y - y**3 + 0 + y**2 - 5\/24*y**4 + 1\/60*y**5. Let w(s) = 82*s + 1974. Let j be w(-24). Give d(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 8*r**2 + 13*r + 5. Let t be (-110)\/(-33)*54\/(-30). What is g(t)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -153855\/40304 + -3\/3664. Let i(p) = -p**3 - 42*p**2 + 44*p - 4. What is the common denominator of i(-43) and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 + -0.1. Let d = -22 - -45\/2. Which is the closest to t? (a) d (b) -0.4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 120\/469 - 146\/511. Is u bigger than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 6) to base 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(7) + 1 + sqrt(28)\/sqrt(4))*1)**2.\nAnswer: 64*sqrt(7) + 464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 + 1 - -1684 - -1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.42 in 67, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -5*i - 6*i + 13*i + 228 + 0*i. Suppose 4*p + 5*a + 8 = -2, -3*p = 3*a + 6. What is the units digit of t(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 7:04 AM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 1 + (sqrt(405) - (sqrt(405) + 0)*3))**2 - ((5*((2*sqrt(405))**2 + sqrt(405) + sqrt(405)) - sqrt(405)) + -4 + 1))*2.\nAnswer: -12946 - 306*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11953 = 4*x - m, -3*x + 8800 + 161 = -2*m. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 + -926401?\nAnswer: -926400.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2021230201 (base 4) in base 12?\nAnswer: 232481","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 14) to base 11.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 16*i**2 - 13*i - 64. Let h be v(17). Solve -4*m - 5*t = -45, m - h*m - 2*t + 25 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 5:49 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1092280206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 11 = f, -4*f - 6 = 2*j - 22. Suppose f*o + 213 = 6*o. Let k(q) = -q**3 + 3*q**2 + 31*q - 1. Calculate the remainder when o is divided by k(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n*n**4)*n**3*n*((n*(n*n**(-4))\/n)\/n)\/(n\/n**(-3))*((n\/((n\/(n\/n**(1\/3)*n))\/n))\/n)**48*(n*n\/(n**0*n))**(2\/3) assuming n is positive.\nAnswer: n**(218\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from nhhnhhnznnnhzhhn.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 8, p: 1, l: 4, h: 1, u: 2}. Give prob of sequence kku.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41*1716\/(-22386)*-2*7\/(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/171072 and 115\/1583802.\nAnswer: 1368404928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 7, j: 1}. Give prob of sequence ijii.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, k: 1, b: 3}. Give prob of sequence kb.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6805 = 215*w - 290 for w.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-2) - -2)\/1. Sort 2, -3, 24, d in ascending order.\nAnswer: -3, d, 2, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -2677?\nAnswer: 2682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2709363 + -0.5.\nAnswer: -0.2290637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 190787 a multiple of 704?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6768198ml in litres?\nAnswer: 0.0006768198","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*d - 15200357 = 5924772. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.1, 1\/3, -0.2, -5 in descending order.\nAnswer: 1\/3, 0, -0.1, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + (13 - 30\/(-4)*(-32)\/(-24)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -49*b*t**2 + 6882*b*v - 2*t**2 + 70*t*v - 6*t - 15*v + 55 wrt b?\nAnswer: -49*t**2 + 6882*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1465334*w**2 + 1362428*w?\nAnswer: 2930668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 4*n**5 + 8816*n**4 - 88468*n**3 + 203632*n**2 - 123984*n = 0.\nAnswer: -2214, 0, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 33 = -a, -a - 3*a + 19 = -f - 8 for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 868 = 4*m - 4880. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 418420782?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -87 (base 10) to base 14.\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -7*w - 75. Let s(f) = -2*f - 74. Let t(p) = 5*h(p) - 6*s(p). Let y be t(3). Let d(q) = -q**2 + 3. Calculate d(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20154 is divided by 28?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 17 = -32, -2*m - t + 1297 = 0. Calculate the remainder when m is divided by 72.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 + -12. Suppose -23*h + 110 = -h. Solve 5*v + h*s = v, -3*s = u for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -32 + 15?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -5 + -4 + 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/4260 and -27\/20.\nAnswer: 4260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15819 is divided by 29?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 20 = -0*a. Let f(h) be the first derivative of -2 - h**2 - 2*h + 1 - h - 3. Give f(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7622 + 7246 + 181 + 195 - b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*i - 4*i - i**4 + (6*i - 5*i + i)*(-6*i**2 + 6*i**2 - 4*i**3).\nAnswer: -9*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -106.8 - 1.2. Let p = k - -106. What is the closest to -0.2 in 2\/5, 0.2, p?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*p = -57*p - 52 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-5)\/((-35)\/(-95788))*(4 + -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.06 + 0.09. Let q = -91412 - -91411. What is the third biggest value in q, -4\/3, d, 2\/15?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -3 - (-56 + 64)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/20 and -77\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-2) - (-297)\/2. Let d(v) = v - 8. Let l be d(10). Suppose 5*y = l*i - 47, -4*y - a = -4*i - 5*y. Is i a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 11:43 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/7 and (-6)\/(-8) + -59*(-1)\/(-260)?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 18*k**2 - 44*k - 21. Let q be h(15). Let c(i) = -i - 1. Let b be c(q). Let z be 33\/2 + (-1)\/2. Solve 4*w + 3*p = p + z, b*w = -p + 23 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-7))\/((-5)\/(-10))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1.8 * 2183966\nAnswer: 3931138.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 10028.\nAnswer: -3, -1, 10028","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 135 (base 10) to base 14\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/10)\/(i\/i**(3\/22)))**(-34) assuming i is positive.\nAnswer: i**(1428\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (149 + (-7 - -7))\/(-1). Let k be -1*2\/(-1) - (147 + h). Solve w + k*p = -3*w + 28, -4*p = -20 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 + (0 - 0)\/(-1). Find the third derivative of k*c**4 + 6*c**2 - 5*c**2 - 5*c**4 - 2*c**2 wrt c.\nAnswer: -24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g**3 - 41*g**2 + 113*g + 2337. Give f(-24).\nAnswer: 3657","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 3 + 2)*(-1 + 1 - b) - 2 + b + 2)*(-7*b**2 - 11*b**2 - 18*b**2).\nAnswer: 36*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 AM and 9:28 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 53323993 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-2*(-3)\/(-30))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 PM and 1:17 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 97 + -46. Suppose c + 32 = w. What are the prime factors of c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 z when two letters picked without replacement from znzuznkknnuznnnanun.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + f - 5 = 0, 3 = -2*c - 3*f + 18 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -216*k**2. Let x(l) be the third derivative of -l**4\/12 + 4*l**2 + 6. Determine p(x(a)).\nAnswer: -864*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 274663 to the power of 1\/2, to the nearest integer?\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(176)*-1*-6 + sqrt(176))\/(1*sqrt(968)))\/(-1*sqrt(200)*-5 + (sqrt(200) - (6*(sqrt(200) + -2*sqrt(200)) + sqrt(200)))).\nAnswer: -1 + 7*sqrt(11)\/1210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 686417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 7 = -3*f, 9 = -3*j - 2*f + 27. Suppose 0 = 5*q - 9 + j. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -152 - -157. Let k(s) = -6739993*s - 35. Let f be k(d). Round f to the nearest 1000000.\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 3*g + 4*x - 8, -32 = -3*g - 5*x. Solve 0 = -i - g + 6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 10) + (6 - 5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-24 + -27 + -590)\/(3\/(-132)) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29.982 litres to millilitres.\nAnswer: 29982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of -94*n**6\/5 - n**5\/20 - 187*n**3\/2 - 843*n. What is the second derivative of s(x) wrt x?\nAnswer: -6768*x**2 - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.69 - -6.4. Let o = 0.28 + j. Let d = o - 0.53. Round d to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -193 + 207. Calculate the remainder when 152 is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*a - 3*k, -9 - 13 = -3*a + 5*k. Suppose d = a*d - 60. Find i such that -16*i - 4*i**2 - 12*i**3 + 12*i**4 - 14*i**4 - d*i**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26.19 - 0.81. Let j = z - -26.9. Which is the third smallest value? (a) 0.2 (b) j (c) -0.4 (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1347603 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 30616887 divided by -483?\nAnswer: -63389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -100, 8, 302, 878, 1832, 3260?\n\"Answer: 16*x**3 - 3*x**2 + 5*x - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4545288229\/2457 + 1849934. Let u = -1\/189 - l. Factor u*o**3 - 36\/13 - 6\/13*o + 8\/13*o**2.\nAnswer: 2*(o - 2)*(o + 3)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 57*n**6 - 7 + 1 - 800*n**6 - 110*n**2 + 342*n**6 - 785*n**6 wrt n.\nAnswer: -142320*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 2*s + 3*s)*(-67 - 54 + 109) + (-4 + 1 + 4)*(3*s - 3*s + 2*s).\nAnswer: -34*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a + 12. What is p(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51 - 48. Suppose c - 13 = -c - w, -c = o*w - 9. Suppose -c*i = -12*i + 888. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4264)\/(-4264)*(-44)\/2?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/((20\/8)\/5))\/(12 + 1)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, -51, -55?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 3 = -11. Suppose 0 = w*p - 3*j - 101 - 3, -j - 51 = -p. Does 13 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 3*v)*(2 + 1 - 2) + (0 - 2 + 3)*(20*v + 52 - 94 + 88).\nAnswer: 23*v + 46","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p - 2. Let v be x(2). Suppose 2*m = -5*w - 24, -3*w + 9 = 5*m + 31. Is v <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 217 and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(4*sqrt(1331) + sqrt(1331)))**2.\nAnswer: 1197900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2208 - -2206. Which is the biggest value? (a) 0 (b) -141 (c) -2\/7 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of 0 - u + 1\/30*u**4 + 3\/100*u**5 - 1\/5*u**2 - 1\/10*u**3. Factor d(r).\nAnswer: (r - 1)*(r + 1)*(3*r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 482 greater than 481?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/12)\/((-4)\/(-16)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 3*w = -941, -5*x - 2*w + 635 + 309 = 0. Suppose -x*n = -195*n + 325. What are the prime factors of n?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t**2 - 22*t + 9. Let z be n(-11). Suppose 3*q + 88 = 5*s, -q - 32 = -0*q + s. Let k = -22 - q. What is the greatest common divisor of z and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/2 + 1852*o - 3705\/2.\nAnswer: (o - 1)*(o + 3705)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 30679 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.64, 4\/9, -1\/5, -73?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of 5*l**7\/42 - 47*l**6\/24 + 22*l**5\/3 - 35*l**4\/6 - 9*l**2 - 3*l. Factor i(q).\nAnswer: 5*q*(q - 7)*(q - 2)*(5*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98295*z - 196250*z + 97958*z.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + 4 - 56732\/11349. Let d = -6401\/873 - t. Calculate the common denominator of d and 59\/84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 45*t - 45*t + 1 - t**2 + 11*t**3. Let z be j(1). Suppose -3*l + z = -1. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2))**(-39))**(-26)\/(y**(-7)\/y*(y*y**6)\/y*y)**(1\/4) assuming y is positive.\nAnswer: y**(-8111\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**4 + 5*a**3 + 3*a**2 - 71*a + 5. Let v(h) = 29 - h - h**3 - 11 - 19 + h**2. Let o(j) = -k(j) - 5*v(j). Find the second derivative of o(y) wrt y.\nAnswer: -24*y**2 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 24*n**2 + 10*n + 25. Let p(u) = 28*u. Determine t(p(f)).\nAnswer: 18816*f**2 + 280*f + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12107317 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - m = -2*x - 283, -3*m + 426 = 3*x. Is x a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 133493620 divided by 30134\nAnswer: 4430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-1*-2*(-1 + (sqrt(832) - (0 + sqrt(832))**2)).\nAnswer: -8330 + 80*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36 (base 12) to base 10.\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133151 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*m**3 + 2*m**3 + m**3)*(-4 - 2 + 4) + (-5 + 4 + 2)*(46 + 11 - 5)*(-66*m**3 + 94*m**3 - 59*m**3) in the form k*m**3 + v + n*m**2 + s*m and give k.\nAnswer: -1608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - -4. Let p(m) = m**2 - 18*m + 47. Let j be p(15). Suppose 0 = -2*d + j*v - 10, -2*d + v - 14 + 4 = 0. Put z, d, 4 in decreasing order.\nAnswer: z, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15706 - 15706 + 2*o**2 - o**2 - 84*o in the form n*o + v*o**2 + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, j: 4, r: 1, w: 1, p: 9}. What is prob of picking 2 p and 1 r?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1275)\/(-459) - (-3)\/(54\/4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 6:40 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 105\/6382?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/30 of a week?\nAnswer: 336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -544*r - 33175. Determine h(-61).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*q - 2*q - 4*q)*(-40 - 100 + 3*q - 2*q + (-2*q + 5*q - 2*q)*(2 - 1 - 3) + 3 - q - 3) as o*q**2 + f + b*q and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 take away -0.61?\nAnswer: -6.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 6*w**2 + 34*w**2 + 24*w**2 - w**2 + 52*w + 3. Let k be x(52). Solve k*r - t - 12 = -4*t, r - 4 = -5*t for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/87? (a) 0.2 (b) 0 (c) 3\/77 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 29751774 and 528138.\nAnswer: 89255322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70949 is divided by 35471.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 34 divided by -1085713\nAnswer: -34\/1085713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*j**3 + 8*j**2 + 84*j + 72 = 0. What is j?\nAnswer: -3, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -0.1 (c) 5 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125)*2)**2*-5 - ((sqrt(125) + 2)*-2)**2) + sqrt(125) + (2 + sqrt(125) - sqrt(125))**2 + -4 + -2.\nAnswer: -3018 - 75*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*b + 412 - 413 - 90*b.\nAnswer: 18*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.142 - 0.142. What is the nearest to 0.27 in 2, z, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13125.22 to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13355 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2282349 plus 0.081853?\nAnswer: -2282348.918147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -10 + (-7 + -1 - (-65 + 40)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 743 divided by 3.\nAnswer: 743\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15561 + -4011. Is 30 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -20 - 21*f**2 + 20 as p*f**2 + t*f + q and give p.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.3, -54 in decreasing order.\nAnswer: 5, -0.3, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(5) - (sqrt(5) + sqrt(320))*4) + sqrt(5).\nAnswer: -34*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 4*b = 6 + 21 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1300 - -2600. Suppose 0 = p - l + 119 - 555, j = 3*p - 5*l. Round p to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2 (b) -4 (c) 8 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -6*r**2 + 597*r + 4475. Let g be t(-7). Let b(p) be the first derivative of p**4\/4 - 2*p**3\/3 + 3*p**2\/2 - 3*p - 2. Determine b(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 370452 and 984.\nAnswer: 30377064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of -f**6\/120 + 2*f**5\/15 - 5*f**4\/24 - 7*f**3\/2 + f**2 + 8. Is a(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 + 0.4. Let z = -317 + 341. Which is the closest to -0.1? (a) 0 (b) z (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.024 (b) 9.94 (c) -2 (d) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11*7\/(-308) + (-65)\/(-12))*3.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 < -3592\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 86838107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/4, -0.2, -1\/6, 2\/7, -3 in descending order.\nAnswer: 5\/4, 2\/7, -1\/6, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + -2. Let p = -1.425 + 1.125. Which is the nearest to -0.2? (a) 12 (b) p (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 a when two letters picked without replacement from abmmmbmmmmmmmmb.\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 5*d**2 + 3*d + 1. Let w be g(4). Let v(z) = z**3 + 2*z**2 - 3*z + 3. Let u be v(w). Solve 0 = u*c - 6*c + 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69974, -139950, -209926, -279902?\nAnswer: -349878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 11*h**2 - 11*h - 13. Let o be 0 + 2\/((-3)\/3). Let u be 13 - o\/2 - 2. Let v be n(u). What is the closest to 0.1 in -4\/7, -3, v?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) - 3*sqrt(65)*-2) + sqrt(65) + 4*sqrt(65)*-1)\/((-6*sqrt(80)\/sqrt(4) - sqrt(20))\/((sqrt(32) + 1*sqrt(32))\/sqrt(8))) + 1.\nAnswer: -8*sqrt(13)\/7 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7375*p**2 + 17516*p**2 - 8783*p**2 to k*p + j + w*p**2 and give w.\nAnswer: 1358","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215568 is divided by 25.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by -5.\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40453, -39540, -38629, -37720, -36813?\nAnswer: -35908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1576943, 3153897, 4730851, 6307805, 7884759?\n\"Answer: 1576954*z - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -236*s - 14. Let g be n(-4). Round g to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*w + 76 = 5*h, 62 = 3*h + 5*w. Let a(d) = -4*d**3 - 3*d**2 + 7*d. Let u(i) = -i**3 - i**2 + 2*i. Calculate h*u(c) - 4*a(c).\nAnswer: 2*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -18784806139 - 8109\nAnswer: -18784814248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -6 - (-1)\/39*-275.\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -243216 - -100?\nAnswer: -243116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {s: 3, t: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -6275*f - 4. Let l be h(-1). Suppose 0 = 2*i - 4443 - l. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76, 207, 348, 505, 684, 891?\nAnswer: 1132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44206 divided by 1922.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, q: 13}. What is prob of sequence qqqq?\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 111213 (base 4) to base 15\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cnccccccpsmnn. What is prob of picking 1 c, 1 m, and 1 n?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.02, 0, -66?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3994.556cm?\nAnswer: 39945.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 6. Let f be (0 - -10)*(-4 - (-36)\/p). Find the second derivative of 19*b + 3*b**5 + 10*b + 4*b**5 + 0*b**f wrt b.\nAnswer: 140*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -107468*t**5 + 2*t**2 - 312*t + 23?\nAnswer: -6448080*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - 1) + 138\/4. Let i = f - 33. Does -2 = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 6*n**2 + n + 4. Suppose t + 1 + 4 = b, 1 = -t + 5*b. Let o be r(t). Is (70\/(-2))\/(1 + o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 13*g**2 - g + 9. Suppose 31*m - 104 = 18*m. What is the hundreds digit of q(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4.5, -0.02, 1, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24\/2975 or 549\/4?\nAnswer: -24\/2975","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3\/2 (b) 1\/7 (c) -0.04 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 f, and 1 d when three letters picked without replacement from {f: 2, d: 1, i: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b**3 - 2*b**2 + 5*b - 6. Let l(p) = -3*p**3 + 2*p**2 - 5*p + 7. Let j(h) = -4*l(h) - 5*u(h). Is j(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*f - 17*f**2 - 36*f**3 - 3 + 19*f**2 + 12*f + 273*f**3 to m*f + g + d*f**3 + c*f**2 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + t**2 - t + 1. Let r(u) = -5*u**3 + 18*u**2 - 15*u + 16. Let n(j) = -4*l(j) + r(j). Is n(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -7*b - 632. Let d = b - -349. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 a when two letters picked without replacement from ududqai?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -4*h**4 + 1563204*h**3 - 29699176*h**2 - 100040016*h - 68777632 = 0.\nAnswer: -2, -1, 22, 390782","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*g + 105*g = -4362. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 3 = 0, -5*o + 4*x + 1 + 3 = 0. Let p be 3 + (2 + o)\/(-1). Is 3\/8 < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/62846 and 4\/2807.\nAnswer: 25201246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, 284, 1\/11, 2\/5 in ascending order.\nAnswer: -2\/13, 1\/11, 2\/5, 284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*u = 5. Suppose u*z - 75 = 100. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8214 - 8214.6. What is the third biggest value in -7, 1\/4, n?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23 - 92) + -15 - (-8 - 27).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*d = 74*d - 9350. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7210 + 11915. What are the prime factors of b?\nAnswer: 5, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 190072307?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 511780 to the nearest one thousand.\nAnswer: 512000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l - l**2 + 0*l)*(2*l**3 + 0*l**3 - 4*l**3) - 2*l**5 + 0*l**5 + 3*l**5 + 4*l**4 - 4*l**4 + 2*l**5 + 57583*l**5 - 28350*l**5 - 4373*l**5.\nAnswer: 24865*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/5, 4, -0.3, -50?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/4)\/(((-3)\/30)\/((-106)\/(-3975))).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45\/4*g**3 + 25\/4*g**4 + 0 + 5\/4*g**5 + 35\/4*g**2 + 5\/2*g.\nAnswer: 5*g*(g + 1)**3*(g + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 194 - -257?\nAnswer: 3eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 6. Let k = 1.8 + n. Let p = -6.07 + 5.97. Which is the closest to 2\/7? (a) 1 (b) p (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 1:53 PM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r - 2*r + 326 = 6*x - 15*x, -3*x = 132 - 24 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 45567.616 + -45566.86600039. Let t = k + -0.75. What is t rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -25 + 5?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4154658 divided by 2077329.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**3 + z**2 - z**2)*(-2*z - 2*z - 2*z) - 22*z**2 + 17*z**4 + 22*z**2.\nAnswer: 5*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 5, 0.2, 1038, 2\/9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ekqrtjrteeeje. Give prob of sequence jq.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15294?\nAnswer: 2, 3, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2642 divided by 2?\nAnswer: -1321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + h. Let m be (3\/(-3) + 1)\/(-1). Let n be z(m). Suppose n = 2*c - c. Is 1 bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -96, -431, -1246, -2781, -5276?\n\"Answer: -40*j**3 - 55*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 48 = -6*b. Solve 4*l + b = -2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/92631205 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1047 = 5*w - 5*i + i, -633 = 3*w - 4*i. Let x = -65 - w. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of y**5\/20 - 7*y**4\/12 + y**3\/3 - 4*y**2 + 9*y. Suppose 0 = 4*n - 4*q - 28, 0 = 4*n + n + 2*q - 35. Calculate v(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34.4 + -35. Is 2\/3 > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25f02 (base 16) to base 3\nAnswer: -21220011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 227950289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 3:31 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 432?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**4 + 2*l**4 - 4*l**4)*(-20 - 95 + 3).\nAnswer: -112*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - 4702 = -4662. Let s(f) be the third derivative of 5\/24*f**o + 13\/3*f**3 + 0*f + 0 - 7*f**2. Differentiate s(j) wrt j.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2*p**2 + 2 - p + p + p**2 - p**2 - 5*p + 5*p + (-2 + 2 + 2*p)*(0*p + 3*p + 0*p) - 3 + 3 + 3*p**2.\nAnswer: 11*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 56378273093432+0.18\nAnswer: 56378273093432.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1153*-0.2\nAnswer: -230.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 14517639 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3*v - 854 = 0, -2*v = r - 539 - 315. Calculate the common denominator of r\/220 + 2\/(-10) and (2\/66)\/(4\/(-162)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1917*t**3 + 8594*t**3 - 2919*t**3 - 2805*t**3.\nAnswer: 953*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of 39*l**2\/2 - 195*l + 240. Let w be b(5). Let z(m) = -m**3 + m**2 + 7. Determine z(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1387876)\/(-4088)*10\/(-35)?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.687637*131.\nAnswer: 90.080447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -11*10\/(-6)*-3. Let y(v) = -5*v + 18. Let w be y(-8). Let r = q + w. Solve 0 = -r*s - s + 20 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 9*w**2 - 25*w - 41. Let x(y) = 5*y**2 - 12*y - 21. Let g(j) = 7*x(j) - 4*z(j). Let d be g(11). Let i = d + -69. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 924 + -926. Let s(k) = -64*k - 134. Let p be s(a). Let z(u) = u**2 + 4*u - 4. What is z(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 15 = -0*v - 5*v, 2*v + 12 = 4*t. Suppose v = -15*h + 9*h - 60. List the prime factors of (48\/h + 4)*-125.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20012 - -10?\nAnswer: 20022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 12) to base 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v + 1. Let a(h) = 6*h - 3. Let w(p) = -3*a(p) - 8*f(p). Let o(l) be the first derivative of -l**2\/2 + l + 113. Determine 3*o(g) - 2*w(g).\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 25 = -1. Let h be 3 + 33\/g - (-11)\/4. Let b(d) = -4*d**2 + 6*d + 1. Let x(w) = 5*w**2 - 7*w - 2. Let z(m) = 4*b(m) + 3*x(m). Determine z(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + o**2 - 16 - 10 - 33*o - 10*o + 25 as l + g*o**2 + c*o and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 529314218.\nAnswer: 2, 6803, 38903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22459.4 + 25140. Round h to the nearest ten.\nAnswer: 2680","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of m**7\/105 + m**3 - 7*m**2. What is the derivative of p(y) wrt y?\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 times 0.4\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*j**2 - 6*j - 2*j**3 + 25*j**2 + 5*j + 2*j**4 to the form w*j**2 + g*j + s*j**4 + v*j**3 + n and give w.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2403140426.\nAnswer: 2, 1201570213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(45)\/(sqrt(9)*2)*4.\nAnswer: -3 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 26323*u - 89789?\nAnswer: 26323","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-22) - (1078\/363)\/(-7). Factor 0*x + 0 + v*x**4 - 1\/3*x**2 - 1\/3*x**5 + 1\/3*x**3.\nAnswer: -x**2*(x - 1)**2*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18757 is divided by 6237.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -49 divided by -49\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -11*s - 9. Let x(u) be the first derivative of -5*u**2\/2 - 4*u - 64. Calculate -4*m(z) + 9*x(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*o - 8*o**2 - o**2 - 11*o.\nAnswer: -9*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 5:17 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1162381, -1162380, -1162379?\n\"Answer: m - 1162382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, h: 1, s: 1, c: 3, n: 5, i: 1}. Give prob of picking 1 s, 1 i, and 1 n.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4165+-2413227226\nAnswer: -2413223061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + 164\/(-12))*-3. What is the second derivative of -3*w**3 + 3*w**3 + y*w - 3*w**5 - 40*w wrt w?\nAnswer: -60*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 393 = 165. Find the first derivative of -45 + 10*n**3 - 51*n**3 + b wrt n.\nAnswer: -123*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3623 + 7329. What is the hundreds digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 102 + 2?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 70 - 65. Let m be (-5)\/(-4) - (-1)\/(-4). Let c be ((-2)\/2)\/(m\/(-2)). Put l, 3, c in descending order.\nAnswer: l, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a gram in milligrams?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 376447 is divided by 77.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -23) + -205 + 203?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - 52104?\nAnswer: -52101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 7) in base 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.15829 and -0.16.\nAnswer: 0.1853264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 258640353 by -1.\nAnswer: -258640353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 754 + -780. Sort -2, u, 2 in descending order.\nAnswer: 2, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -9*k - 2. Let q(s) = -19*s - 5. Give 9*l(y) - 4*q(y).\nAnswer: -5*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 95\/38*2\/(-4). Sort 0.3, q, -5 in ascending order.\nAnswer: -5, q, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -2, 2, -405060, -1, 3, 3\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8934 by 25.\nAnswer: -8934\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 13) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(1 + 112\/(-48)))\/(3\/16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 8*j - 155. What is r(17)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -6986?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -7*v + 2*v + 11, -v + 5 = -w. Let t(n) = 3*n + v*n - 5*n. Let r(k) = -k - 4*k + 6*k. Determine t(r(y)).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*y + 77*y = -110*y - 218*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 15, o: 3, j: 2}. Give prob of picking 1 j and 1 q.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -15235 greater than or equal to -15238?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -235433 + 3155?\nAnswer: -232245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 409360 and 560.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101100110100 - -1010110?\nAnswer: 101110001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 48\/(-476)*(-2)\/3*168\/32\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q = 1062 - 162. What is the highest common factor of q and 650?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102525 (base 10) to base 7\nAnswer: 604623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 646, 211 in decreasing order.\nAnswer: 646, 211, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29*h**5 - 3*h**2 + 5*h - 1.\nAnswer: 580*h**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175*p**2 - 352*p**2 + 179*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2828.32581+28051\nAnswer: 25222.67419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0707 from 0.7.\nAnswer: 0.6293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 133\/539 + ((-42)\/33)\/(-7)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 3*s + 7, -7 = -l - 2*s. Let t = -3 + l. Let k be (3 - 5) + -1 + 8. Sort 3, t, k in ascending order.\nAnswer: t, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -86*d - 3. Let c(w) = -7*w - 3. Let m(s) = -2*s - 1. Let q(x) = 2*c(x) - 6*m(x). Determine o(q(r)).\nAnswer: 172*r - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 164527335 and 47007810.\nAnswer: 329054670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - 22)*(-6)\/(-5). Let b be 0 + m\/(-4)*4. What is the third derivative of -b*a + 5*a**2 - 2*a**5 + 30*a wrt a?\nAnswer: -120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 + -15. Suppose -6 = -c + d. What is the remainder when 43 is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 191*d - 189*d. Suppose -26*i = -29*i + d. Solve p - i = -3*m, -15 + 2 = 5*p - 4*m for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 288445369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30577272*r**3 + 54801268*r**2?\nAnswer: -183463632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -502569 at least as big as 0.46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65947610.\nAnswer: 2, 5, 6594761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = s + 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*g - 365 = 29*g. Let c = g - 368. Sort 0, -0.4, -0.11, c.\nAnswer: c, -0.4, -0.11, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jmc when three letters picked without replacement from {c: 2, m: 3, o: 5, j: 2}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*j - 19 = 80*j - 26*j - 3*r, -2*j - 13*r = -38 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 987 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 w when three letters picked without replacement from ywwmyyyyymmwm?\nAnswer: 45\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d + d + d)*(1 - 3 + 1) - 569 - 566 - 582 + 30320*d + 1717 to the form a + h*d and give h.\nAnswer: 30319","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4022000 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xwoellxexxko. Give prob of picking 1 w and 1 k.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -8. Let h(y) = 217904*y - 217904*y + 13*y**2 + 27. Let r(f) = 27*f**2 + 54. Let w(g) = b*h(g) + 2*r(g). What is the first derivative of w(i) wrt i?\nAnswer: -22*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14\/((28\/(-12) - 1) + 4) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3090 and 3090 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 20*s + 9*s + 2 - 2 - 6.\nAnswer: -11*s - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zklkakzk. Give prob of sequence akk.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46290 and 7812.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6773999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-291 + 290)*(-11 - (-9)\/3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 2\/688668691?\nAnswer: 2\/688668691","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 1:50 PM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**4*(u\/(u**(-1\/17)*u))\/u assuming u is positive.\nAnswer: u**(52\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -734*z + 4435 = -19855 + 1536 for z.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -2, -4, -6378 in descending order.\nAnswer: 4, 0, -2, -4, -6378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 834, 1703, 2612, 3561, 4550?\nAnswer: 5579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/17*(-6 + (-1 - -8)). Let n = -4.947 + -0.053. Put -0.3, -3, m, n in increasing order.\nAnswer: n, -3, -0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11016 and 53441472?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -248 - -243. Suppose 0 = 2*w - 3 - 7. Sort w, c, 2, -3 in ascending order.\nAnswer: c, -3, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 2*m + 12*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -62 + 120?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -2*b**4\/11 + 4*b**3\/11 + 16*b**2\/11 = 0.\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s - 2*s + 381*c - 336 = 374*c, -5*s + 144 = 3*c for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 58 + -53. Suppose -6*l + 28 = -2*l - 5*a, -l = -c*a - 7. Let i be (-2)\/4*1*0. Solve i = m + m + 4*o - 20, -l = -m - o for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 9152963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1610704.\nAnswer: 2, 100669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + g - 6 = -3, g + 1 = -w. Suppose -5*l = -3*v - 8, -4*l = v - 7 + 4. Let a(h) = 9*h + l + 3*h**3 + 2*h**2 - 8*h - 1. Determine a(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*3*(-64)\/(4224\/(-110))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 76 - 83. Let l(y) = -y**2 - 4*y + 24. Let b be l(o). Suppose -b*h = -7*n + 3*n + 30, -4*n = 2*h - 20. What is the remainder when 16 is divided by n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 273 (base 12) to base 15\nAnswer: 1a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n\/n**(3\/2)*n*n*n*n**0*n**(-5)*(n\/((n*n**(1\/3)\/n)\/n))\/n assuming n is positive.\nAnswer: n**(-5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4054 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -20*((-6)\/(-5) + -2). What is the greatest common divisor of 32 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 6331560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5324 - 319427\/60. Calculate the common denominator of k and -35\/72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 74*b**3 + 3*b**2 - 9. Is f(3) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - (-52)\/(-16))*(-4)\/1. Let s be ((-20)\/(-40))\/(h\/6). Determine k, given that 21 + 12*k**3 + 6*k + 21*k - s*k**4 + 20*k + 54*k**2 + 13*k = 0.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21121572\/935 - 512996578\/23375. Let n = z - 7074\/11. Calculate the common denominator of n and -13\/7.\nAnswer: 875","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*p + 24*p - 1 = 0. Let n be p\/(-4) - 85\/204. What is the second biggest value in -4, n, 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 126 - 126. Suppose f = x - 18 - 1. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2709 + -2710. What is the closest to -0.05 in 1\/5, p, 3\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*p + 2*p. Suppose -p*v + y + 66 = 0, -2*v + 3*y - 2*y = -24. Is 14 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 2*z**3 + 4*z**3 - 4 - 7*z + 4*z**2 + 6. What are the prime factors of c(-5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.067? (a) 3\/4 (b) -2\/27 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -67\/6, -10\/27, 1, -0.1 in ascending order.\nAnswer: -67\/6, -10\/27, -0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q**2 + 2*q - 6. Let r be z(3). Find the common denominator of -151\/6 and 1 + (141\/r - 3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cd when two letters picked without replacement from ddcdccoc.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**2 + 2*i**2 - i**2)*(2*i - 2*i + i) + i**2 - 3*i**3 + i**2 - i**3 + 0*i**3 + 5*i**3 - 3*i**3.\nAnswer: -4*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-987)\/564*(-24)\/(-252)*-9?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4*r = -116. Suppose -2*v + 23 = -7. Let s = r - v. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tdtbbbtitttdbbbtbbtt. Give prob of sequence dbb.\nAnswer: 14\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 10:47 PM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1317 - -979.8683. What is the third biggest value in -2, -4, a?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of w**5\/20 + w**4\/12 - w**3\/3 + 12*w**2 + 7*w. Calculate y(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 7 - 25 = -d, -45 = -5*d - 5*q. Suppose g - d = -g. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 780625, 780599, 780573, 780547, 780521?\nAnswer: 780495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/9, 2\/17, -20 in ascending order.\nAnswer: -20, -1\/9, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 234050 from 0.02.\nAnswer: -234049.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -7*g + 6. Let b(s) = 2*s - 4. Let u be b(4). Solve 5*n + 20 = 0, u*l + g*n - 4 = -0*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 933256 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 201624843?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and ((-11)\/((-44)\/8))\/((-2)\/(-12)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 3:17 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of z**5\/20 - 2*z**4\/3 + z**3\/6 - 3*z**2 - z. What is the smallest common multiple of 8 and m(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 151, 312, 487, 682, 903?\n\"Answer: x**3 + x**2 + 151*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 953280187 to the power of 1\/2, to the nearest integer?\nAnswer: 30875","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/16 + (-54)\/16. Sort m, -2, 2, -4 in descending order.\nAnswer: 2, -2, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/22*-1)\/1.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + 28*i + 198. Let o be f(-14). What is the second derivative of 22*a**2 + 3*a**o - 10 + 71*a**3 - 6*a - 2*a + a - 24*a**2 wrt a?\nAnswer: 426*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m + 5. Let x be j(4). Let g be 12\/30 + (-8)\/70. Is g at least x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 49941180 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of -y**6\/24 - y**5\/60 - y**4\/12 - y**3\/6 - 4*y**2. Is l(-2) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**2 - 2*m + 2*m - m**3 - m**2 + 1 to j*m + k*m**3 + r + q*m**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -11756, -31\/5, 4\/75 in decreasing order.\nAnswer: 4\/75, -31\/5, -11756","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 528\/653?\nAnswer: 528\/653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*l - 3*x, 0 = -2*l - 3*x + 39 - 18. Let m = -5 - -38. Let s = m + -27. What is the least common multiple of s and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -6963 + 3503 + 6*o**2 + 3466 - 5*o**2 - 11*o. Let z(l) = -l**3 + 4*l**2 + 3*l - 3. Let w be z(2). What is s(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-6)*-4*24\/64?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -1110*z - 4. Let b(v) = 10*v**2 - 9*v. What is b(u(n))?\nAnswer: 12321000*n**2 + 98790*n + 196","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 42352?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 + 33. Calculate the smallest common multiple of v and -3*(-1)\/6*8.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 16615941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*o - 35*o + 24. Suppose -o*k - 31 = -3. Let t(c) = -c**3 - 8*c**2 - 8*c - 4. What is t(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 471955732 divided by -1366\nAnswer: -345502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -114.9 - -218.8. Let n = 104 - k. Let d = 1\/468 + -317\/2340. Which is the nearest to -2\/13? (a) -6 (b) n (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.51 - -20.49. Let q = g - 20.99988. Round q to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0196 + 8.5496. Let j = 25.77 + x. Round j to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2 + 510*u - 1008.\nAnswer: -3*(u - 168)*(u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, -34, -7, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a**4\/4 + 7*a**3\/2 - 18*a**2 - 216*a + 864 = 0. Calculate a.\nAnswer: -12, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*h**2*i*k + 26*h**2*k + 2*h**2 - h*i*k + 2*h*k with respect to i.\nAnswer: -8*h**2*k - h*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 10. Let m(p) = -5*p**2 + 4 - 2 + j*p + p**3 - 1. What is m(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2. Let p(s) = -3721353*s. What is f(p(y))?\nAnswer: -13848468150609*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r. Let t(j) = j**3 + j**2 + j - 1. Let c(s) = -2*s**3 - 9*s**2 - 5*s + 10. Let g(f) = -c(f) - 3*t(f). Let a be g(6). What is the units digit of o(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 307500745 != 307500748?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1263, 1267, 1275, 1287?\nAnswer: 1303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 10) to base 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -56, 0, 0.4, 0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -13*l**2 + 13. Let k(c) = -c**2 - 11*c + 10. Let v be k(-12). Let s(n) = 3*n**2 - 3. Let p = -9 - 0. Calculate p*s(w) + v*j(w).\nAnswer: -w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 843762, 843633, 843420, 843123, 842742, 842277?\n\"Answer: -42*l**2 - 3*l + 843807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x + 8. What is the tens digit of w(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 2021220?\nAnswer: -2021220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -4 (b) -3 (c) 19 (d) -0.21 (e) 20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3326 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 + 26. Let p = 2 - -4. Let a = p - k. What is the nearest to 1\/2 in a, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.8 + -0.2. Which is the nearest to t? (a) -2 (b) -1 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/((p*p**(-1)*p)\/p))*p*p)**(-13\/6)*p**(-4\/3)*p\/p**(-1\/7) assuming p is positive.\nAnswer: p**(-95\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**8\/z)**(-3)\/((z*z**(-4\/7))\/z**(-7)) assuming z is positive.\nAnswer: z**(-199\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*g**3*o**3*z - 113975*g**3*o**3 + 5*g**3*o**2*z - 25*g**2*o**2*z + 287*g**2*o**2 wrt o.\nAnswer: -18*g**3*z - 683850*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 19 = 13. Let i be (160\/35 - 4)*(-21)\/(-6). Solve -m*n + 2*o - 2 = 0, -4*o + 13 = -i*n + 3*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100593.83 take away 0.033622?\nAnswer: -100593.863622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 2 + -3 + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.7 + 7. Let t be (-57)\/60*-4*5. Is t less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**3 - 10*p**3 + 3*p**2 + 8*p**3)*(-11*p + 13*p - 61*p).\nAnswer: 118*p**4 - 177*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 800722*f**2. Let d(g) = 243*g**2. Calculate d(z(n)).\nAnswer: 155800840272012*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*l + l + 0*l)*(1014*l + 1019*l + 269 - 2030*l) in the form c + a*l + d*l**2 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/3142 and -21\/44.\nAnswer: 69124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*h + 13, -4*x + 3*h = -24. Is 77 - 4\/(4\/x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0, 1, -5, -2.\nAnswer: -6, -5, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-120)*3)\/((-12)\/30)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -14. Let c(d) = d**2 + 3*d - 8. Calculate the remainder when 38 is divided by c(l).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uaf when three letters picked without replacement from {a: 2, v: 6, u: 1, f: 4}?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 + 20.7. Let o = 1.295 + f. What is o rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*y = -38*y + 230 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 2 + -9 + (13 - 18)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - j**3 + 3238*j - 3228*j - 2*j**4 - j**4 + 7*j**2 - 10 as n*j**2 + r*j**3 + v*j + y + f*j**4 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-5)\/35)\/(-1) + (-2)\/14. Suppose g = 3*w, -5*w - 191 = -3*p + 2*p. Calculate the remainder when p is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - (0 + 0)) + 2. Suppose c*o = 3*o. What is the common denominator of 61\/8 and (3\/(-21) - o)*1?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 4*s**2 - 2*s - 3. Let m be (-4)\/(-10) + (-51)\/15. Is b(m) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211*q + 180*q - 39552 = -21*q for q.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1531 + -44. Is k a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5146 is divided by 2283?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.568592 rounded to 0 dps?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.61, -2, 3\/2, 1 in increasing order.\nAnswer: -2, -0.61, 1, 3\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6715155, 6715156, 6715157, 6715158, 6715159?\n\"Answer: b + 6715154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2517543568.\nAnswer: 2, 23, 571, 11981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - (165\/(-25) + (-4)\/10). Solve -3*d - 1 = 2*b, -3*b - l = -2*b for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 - 54. Let y = -13 + 51\/4. Which is greater: f or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11255 is divided by 326?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y - 4. Let g be a(-10). Suppose g = -2*f - f. What is the second smallest value in -5, f, -0.05?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5811 and 1.\nAnswer: 5811","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/1125 and -67\/1611.\nAnswer: 201375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 278 or 286?\nAnswer: 278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (115 - 3 - 114) + -1 + 54?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 8*o**2 + o - 9. Let s(m) = -2*m**2 + 2. Suppose 0 = 2*h + 43 - 25. Determine h*s(d) - 2*g(d).\nAnswer: 2*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5*h = -c + 632, 0 = -4*c - 2*h + 604. Calculate the remainder when c is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 s when two letters picked without replacement from cspqpppn?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -242 and 824 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m\/m**(1\/2))))**(4\/9)\/(m\/m**(1\/3)*m*m**4\/m) assuming m is positive.\nAnswer: m**(-40\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 163665311 (base 7) to base 8.\nAnswer: 52504274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 1. Suppose g = -5*k - 5*l - 10, k - 3*l = -8*l - 22. Suppose -y = k*y - 12. Calculate the remainder when 7 is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + r**2 - r. Let m(l) = 194*l**3 - 3*l**2 + 4*l + 61. Let x(d) = -m(d) - 3*p(d). Find the second derivative of x(v) wrt v.\nAnswer: -1146*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/t**(-12))\/((t\/(t\/t**1))\/t)*t**(-11)\/((t\/(t**(-14)\/t)*t)\/t))**(32\/3) assuming t is positive.\nAnswer: t**(-416\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -23\/2*p**2 + 135*p - 129. Differentiate l(n) wrt n.\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -7*j**3 + 6*j + 13. Let q(g) = -7*g**3 + 5*g + 14. Let m(t) = -5*i(t) + 6*q(t). Differentiate m(f) with respect to f.\nAnswer: -21*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.31 in -5, -589, -3\/2, -4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-315812)\/(-18) + 11*(-35)\/3465?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1997050?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 6 = 3*t. Suppose l - 10 = -5*x, -3*x = 2*x + t*l - 10. Find the third derivative of -3*i**x - 15 + 4*i**3 + 15 wrt i.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1575 or 1570?\nAnswer: 1575","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*c + 7*c = -5*z + 23, 2*z - 7 = 3*c for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 304.\nAnswer: 1\/304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*(-3 - (-65)\/15). Solve -29*l = -31*l - u for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of -v**3\/3 - 3*v**2\/2 + 2*v. Let x be c(-4). Suppose -2*j = -0*n + x*n + 19, 2*j - 8 = 4*n. Is -3 less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 + -9. Suppose 183 - g = m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -b**6\/6 + 25*b**4\/12 - 10*b**2 - b + 210. Let n(i) be the first derivative of q(i). Determine f, given that n(f) = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 0 - 3 = 0. Let s = 2 - n. Suppose -s*i + 4 = -14. Solve -i*c = -c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 1915, -6 in increasing order.\nAnswer: -6, -1, 0, 1915","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 8, 128, 4 in increasing order.\nAnswer: -3, 4, 8, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6 + 1 + 3)*(-66 - 10*w + 66) + 2*w - w - 5*w)*(-5*w - 3*w + 5*w)*(0*w**3 + 6*w**3 - 4*w**3).\nAnswer: -96*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-2 - -10) - -18.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1176)\/(-49))\/(21\/(-2)). Let t = -43\/28 - y. Suppose 9\/4*c**2 + t*c**3 + 0 + 3\/2*c = 0. Calculate c.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21122 and 236?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6*4\/(-18)*-3. Let n(o) = o**3 + 7*o**2 - 6*o + 1. Let m be n(1). Is c + (-21)\/m + 270 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + (0 + 19)*3. Suppose -2*h - 725 = -5*p + 112, 3*p - 4*h - 505 = 0. Suppose -p = -d - 4*d - 3*y, -2*d + b = -y. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b + 19 = 208. Is b a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 20*q**3 - 2*q + 4. Let i be m(3). Let p(c) = -2*c - 2. Let z be p(-3). Suppose i = z*w + 126. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19048 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 167*b - 48*b - 120*b. Suppose -h + 0*h = -4. Suppose v = 3*t - 0*t + 14, 14 = -h*v - 2*t. Let j(o) = 6*o - 4. Give v*j(g) - 5*k(g).\nAnswer: -g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kdalw. What is prob of picking 1 a and 1 d?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 15554*l - 1327. Is f(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/(-28))\/(((-975)\/10)\/5)*-8.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k = -2*j - 18 + 20, -3*j + 4*k = -19 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5258?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that r**5\/4 - 460*r**4 - 55059*r**3\/2 + 914022*r**2 + 222034365*r\/4 = 0.\nAnswer: -51, 0, 45, 1897","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 500 - -686. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011000001010 (base 2) to base 12.\nAnswer: -3322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1133102230 - -22?\nAnswer: 1133102312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkttkkkkktktkkkk. Give prob of sequence kkk.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + v = 24 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 471 - 1*(1 - 3). Suppose 0 = -6*s + 10*s + 5*i - h, -2*i = 4*s - 470. Does 13 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 3 - 21. Let m(k) = k + 42. Let i(a) = a**2 + 3*a + 2. Let r be i(-2). Let s be m(r). Calculate the highest common factor of d and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0 (b) 6\/7 (c) 26 (d) 4 (e) -0.55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0, -1, 0.1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -8113, 95 in decreasing order.\nAnswer: 95, 2, -8113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -2*a + 5*n, 3*n + 22 = -4*a. Let o be (-16)\/88 - a\/22. Solve o = -j - 0*j - 5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*u - 27439 = 3*u. Let f = u - 385. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60604, -60626, -60664, -60718, -60788, -60874?\nAnswer: -60976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6585*f + 4742*f + 2924*f.\nAnswer: 14251*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-12)*(-25)\/(-15)*1*9\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1687 + 1695. Let g(d) be the first derivative of 0*d**2 - 12*d + 4\/3*d**3 - v. Differentiate g(p) with respect to p.\nAnswer: 8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(11)*1 + sqrt(1331) + 1 + ((sqrt(1078) - (sqrt(1078)*-1 - sqrt(1078)))\/sqrt(2))**2 + 5.\nAnswer: 12*sqrt(11) + 4858","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1060840 is divided by 194?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19446 and 903.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 1\/7, 3\/4, 16?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7037*p**3*u**3 - 13*p**3*u + 3*u**2 - 19 wrt u?\nAnswer: 42222*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5659976 or 11319949\/2?\nAnswer: 5659976","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216) - (2 + sqrt(1216) + (sqrt(1216) + sqrt(1216)*2 - sqrt(1216)))) + (sqrt(1216) + -2)**2*5 - 2*(-3*(sqrt(1900) + -1))**2.\nAnswer: -28120 + 184*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 + 1 + -10)\/((-50)\/(-15) + -3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14 - 0?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.05 and 1.036828?\nAnswer: 1.086828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p**2 + 2. Let y be k(2). Let j = y - -8. Suppose -m + 0*m**j - 1 + 0*m**3 + m**2 + m**3 = 0. What is m?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -114996*k**2 - 204*k + 68. Let i(s) = -5000*s**2 - 9*s + 3. Let c(w) = -68*i(w) + 3*r(w). Let u(m) = -3*m**2. Determine u(c(l)).\nAnswer: -74640432*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**2 - 19*t - 5. Let j be o(10). Suppose -j*b - 2 = -k - 10, 3*k + 3*b - 12 = 0. Find the second derivative of 29 - 51 - 10*a**k + 22 + 31*a wrt a.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/21 - -5\/7. Which is the second biggest value? (a) 3\/4 (b) 0 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*n**3 + 1576*n**3 + 1698*n**3.\nAnswer: 3159*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, g: 1, u: 2, z: 3, d: 1, h: 1}. What is prob of picking 1 h, 1 z, and 1 t?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*s - 14*s**3 + 16*s**3 - 2 + s**3 + 2*s**2 + 0*s + 7*s**4 to x*s**4 + b*s + i*s**3 + q + o*s**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -10. Suppose t*w = w + 90. Does 18 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7583, -7581, -7579?\n\"Answer: 2*f - 7585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z**4 + 6*z. Let h(f) = f**4 + f. Suppose 0 = 5*y - 2*w + w + 8, -4*y + 11 = 5*w. Let g(d) = y*n(d) + 6*h(d). Factor g(v).\nAnswer: 3*v**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - -12) + 2\/(84\/51).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54391 - 0.048?\nAnswer: -54391.048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -5*f - 3*z, 5230*z = -3*f + 5225*z - 22 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 5. What is the lowest common multiple of 20 and ((-4)\/y)\/(2\/(-24))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of h**2*x**3 - 12*h**2*x**2 + h**2*x + 137*x**3 wrt h?\nAnswer: 2*h*x**3 - 24*h*x**2 + 2*h*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 - 10*l - 3. Let n be c(-9). Solve h - 3*j + 20 = n*h, 5*j = h + 24 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*d + 5*d**2 - 276*d - 187*d + 574*d.\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4138761?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of 11*p**5\/20 - 4*p**2 + 3*p. What is the first derivative of q(r) wrt r?\nAnswer: 33*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9126520 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -3*p + 4*p - 4*p + 4*p - 5. Let i be s(8). Sort i, 2, 5 in decreasing order.\nAnswer: 5, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147441385 is divided by 484?\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 9, 12, 15, 18?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/5*n**4 + 0*n - 2\/5*n**5 + 8\/5*n**3 + 0*n**2 + 0.\nAnswer: -2*n**3*(n - 4)*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -220 times 2438?\nAnswer: -536360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21*t**4*y**2 + 6*t**4 - 4*t**3*y - 52*t**2*y**2 - 2*t**2 + 3*t*y**2 wrt t.\nAnswer: 504*t*y**2 + 144*t - 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 7. Let k be 39\/15 + 3\/f. Solve 0 = k*z - 2*a - 4, 5*a + 0*a + 37 = -4*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(((-3)\/6)\/1). Let i be (3\/s)\/(10\/260). Let d = -32 + i. Calculate the greatest common divisor of 21 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r - 2*k - 10, 0 = 21*r - 19*r + 3*k - 1 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 662254 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6 + 107633437575?\nAnswer: 107633437573.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(3\/10)*q)\/q**(1\/4))\/(q**(-3)*q*q*q*q**(-2\/3)))**29 assuming q is positive.\nAnswer: q**(2987\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1923*x = -1927*x + 3*z + 273995, -5*x = 2*z - 342511. What are the prime factors of x?\nAnswer: 68501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**2\/6 - 119*c\/6 - 59\/3 = 0. Calculate c.\nAnswer: -118, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/6 and (-9)\/18*146\/(-20).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 711\/474*((-240)\/6048)\/(1\/(-4))\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.1 + 0. Let m = 2.9 - t. What is the third biggest value in -5\/2, m, -0.1?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 604*q**4 + q**2 - 1251*q**4 + 604*q**4 - q - 5*q**3 to i*q**2 + g + o*q + l*q**4 + m*q**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 526880.4 centimeters in millimeters?\nAnswer: 5268804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -405*0.4.\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 98285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.08 (b) 3\/5 (c) 1\/647 (d) 107 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 5*l + 28 = 0, 4*l = -3*f + 1 + 25. Suppose -3*u + 10 = -5*v, -5*u + 0 = -3*v - f. Let s(o) = -6 + o + 0*o + 4. What is s(u)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 + 18*s + 2. Let d be t(-19). Suppose -6*g - 9 = -d. Suppose -z - 1 = -g*r - 9, 5*r = 3*z - 26. Does 4 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 5794\nAnswer: -5\/5794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of r**5\/20 - 23*r**4\/12 + r**3\/2 + 73*r**2\/2 + 76*r. Calculate the lowest common multiple of m(23) and 8.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.2, 16\/9, -9, 6, 1\/2?\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 654, 1299, 1932, 2547, 3138, 3699?\nAnswer: 4224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112378166.\nAnswer: 2, 227, 247529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -1\/4, -1, -388?\nAnswer: -388","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 2 - 1)*(-2 + 1 - 1) + 24 + 26 + 3)*(-6*c + 0*c + 0*c)*(-2*c + 0 + 0 + (-2*c - c + 5*c)*(1 + 0 + 1) - 3 + 3 + 2*c).\nAnswer: -1176*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 335 - 67 = 0. What are the prime factors of p?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 0*o + 0*o - 37 + 5*o + 3*o + 0*o. Let t(y) be the second derivative of y**3\/3 - 9*y**2\/2 + 4*y - 1. What is -2*q(p) + 9*t(p)?\nAnswer: 2*p - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -176*q**2 + 5*q - 4. Suppose -2 = 2*t - 4. Let x(d) = 5*d - 1. Let c be x(t). Let k be y(c). Round k to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6461 is divided by 271?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f**2 + 295*f - 289. Let s(u) = 3*u**2 + 294*u - 289. Let i(g) = 9*d(g) - 8*s(g). Differentiate i(y) wrt y.\nAnswer: 6*y + 303","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) - 2*sqrt(1100))**2 - (0 + sqrt(539) - sqrt(539))**2.\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174697 is divided by 43670?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 + (4 - 9 - -11))*7. Suppose -10*q = -v + 67. Sort 0, q, 4, 1 in decreasing order.\nAnswer: 4, 1, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 6:46 AM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.11 and -666596?\nAnswer: 73325.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 + 16.948. Let s = -1.702 - k. Let u = 1.541 + s. Round u to 2 decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -237\nAnswer: 5\/237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -476 or 0.645?\nAnswer: -476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7 + -8 - (-3)\/3. Suppose 2*k - 166 = -v*k. Suppose 0 = -5*x + 2*p + k, -3*p - 31 = -2*x - 0*p. Calculate the remainder when 65 is divided by x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, t: 1, x: 7, g: 8}. Give prob of sequence ggb.\nAnswer: 28\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4*l + 3 = -0*n, 5*n - 5*l = 15. Let p = n + 21. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/19080 and -23\/25440.\nAnswer: 76320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hwwwthvwwh. Give prob of sequence hv.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 PM and 10:01 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 3*z = 18, -9*j + 13*j = -4*z - 24 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 5 = -o, -2351*n + 2355*n = 3*o - 15 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 404 - -20223441?\nAnswer: 20224400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 602 - 288. Suppose r + 180 = 13*t. What is the remainder when 70 is divided by t?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of 0*o + 0 + 61\/12*o**5 + 2*o**2 + 4\/3*o**3 - 1\/12*o**4. Let j be p(-6). What is j rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 102847b?\nAnswer: -1028477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 7*k**2 + 1154*k - 170. Let g be q(-165). Let u(w) = 4*w**2 + 3*w. Let i(j) = 7*j**2 + 7*j. Give g*u(v) + 3*i(v).\nAnswer: v**2 + 6*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 192144 to the power of 1\/2, to the nearest integer?\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11.25 - -0.25. Let n = a - -13. What is the second biggest value in n, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 i when three letters picked without replacement from iiqqqpiqpi?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -237455008 - 5.\nAnswer: -237455013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 2*v - 4*f, -4*v + 165 = 2*f + 167 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -3 - 1 - n**2 + 2*n**2 - 3*n + 6*n. Let g be p(-4). Put 1, g, -3 in increasing order.\nAnswer: -3, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1462 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -2*a + 2*s, 68*s - 70*s = a + 16 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000546258 to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4 + (-2*sqrt(756))\/sqrt(12)) + -4*(-3 + ((sqrt(42) - (sqrt(42) - sqrt(168)\/sqrt(4)))*-2)\/sqrt(6)).\nAnswer: 36 + 44*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3*m - 72. Give u(0).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1273764?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 223*d + 2863 + 2861 - 5706 to z*d + h and give h.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 divided by 14304?\nAnswer: 19\/14304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -48 - -68. Suppose -7*b + 2*b - v = -3*i, 23 = 5*i + 2*b. Solve 5*o = -4*n, i*o + 37 - 2 = 3*n for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 40*y**2 + 18405*y + 72980.\nAnswer: 5*(y + 4)*(8*y + 3649)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*l + 56*l - 119*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 83, 134, 199, 284, 395, 538, 719?\n\"Answer: y**3 + y**2 + 41*y + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1523757 (base 9) to base 2.\nAnswer: -11001101101101110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/3 + 1027*v\/3 - 13520\/3.\nAnswer: (v - 13)*(v + 1040)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 654527 to the nearest integer?\nAnswer: 809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -3, 692, -4 in descending order.\nAnswer: 692, 1, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and -69*2\/(-10) - (-4)\/20?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -105056 - 1561?\nAnswer: -106650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76, -76, -90, -118?\nAnswer: -160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 66433 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 10*a - 15. Suppose -a*r = 3*t - 3, -t + 19 = -r + 5*r. Suppose 2*o + 20 = 6*o - 4*w, 4*o + 4*w = 4. Solve o*k - r*k = 9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 236997688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 118 (b) -7 (c) -1\/4 (d) 0.03 (e) 7\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 - 30 - (-7 - -1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 11:44 PM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-15)\/4)\/(2\/(-24)) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 126 and 11970?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-258230)\/(-45))\/(-7) - (-2)\/(-9). Let z = 1734 - x. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/3)*n\/(n\/(n*n*n**9\/n)))**(-20)*((n*n**(5\/4))\/n*(n*n*n**(2\/5)*n)\/n)\/(n*(n\/n**(-2\/5))\/n)**(-14\/3) assuming n is positive.\nAnswer: n**(-3663\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 73, 166, 485, 1162, 2329, 4118, 6661?\n\"Answer: 22*i**3 - 19*i**2 - 4*i + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -38*i**4\/3 - 11127*i**3 + 51898*i**2\/3 - 6453*i + 880\/3 = 0.\nAnswer: -880, 1\/19, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7423 - 7460.33. Let q = j - -38. Let a = q + -0.699. Round a to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 709 in 1665, 14, 0?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - 26\/(-8)*-1. Let x = 10 - 12. Let z be -5 - x - 12\/(-2). Which is the second smallest value? (a) z (b) i (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 53 = 2*a, 0 = -7*a + 8*a + i + 21 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 367811933.\nAnswer: 521, 705973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3327 and 237957021?\nAnswer: 3327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -292844, 5, 1.\nAnswer: -292844, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/(-2))\/(1\/(-10)). Let z be 2 - 1 - ((-5 - 1) + 2). Solve c + 5 = -3*u + r, 35 = 2*u - z*c for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 a, and 1 q when three letters picked without replacement from {q: 7, b: 1, a: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/(-10) + 3 - 30\/(-1575)*49.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/1084 and 43\/2.\nAnswer: 1084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z + 23. Let l be h(10). Let f(p) = -7 + 2 + p + 3. What is the remainder when 2 is divided by f(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -56 - -13. Let a = g + 41. Sort -1, -3, 0, a in descending order.\nAnswer: 0, -1, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-49)\/14 + (12\/4 - 1). Which is the nearest to 1? (a) 5 (b) k (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.5328 to 0 decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**3 + 0*h**3 - h**3 + (5 - 5 + 8*h)*(5*h**2 - 5*h**2 - 2*h - 2*h**2).\nAnswer: -15*h**3 - 16*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of -g**5\/20 + g**4\/2 + 4*g**3\/3 - 4*g**2 + 7*g. Determine m(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-20)\/8 + -3)*4. Let v = 39 + h. What are the prime factors of v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 5\/2, 39.\nAnswer: 2\/9, 5\/2, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -c - 5*h, -4*c - 16*h - 8*h + 30*h = 3*h - 30 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 7*s**2 + 6*s + 3. Let m = -147 - -90. Let a = m - -51. Determine b(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - (1 + -3))\/1. Suppose n = 4*v + 2*y - 2071098, 2*y + 2588865 = 5*v + 3*y. Suppose 3317772 = -4*d + v. Round d to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -db3b (base 14) to base 7\nAnswer: -215304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 610 - 110 = -50*p for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {p: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 418 a factor of 100232758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -140923?\nAnswer: 1\/140923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*1*(2 + sqrt(242) + -2 + -5))**2.\nAnswer: -3960*sqrt(2) + 9612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2787, -2\/5, 4, 0.03 in descending order.\nAnswer: 2787, 4, 0.03, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-55)\/440)\/(4\/(-28) - (-585)\/420).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8412689, -16825409, -25238161, -33650945?\nAnswer: -42063761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9705.49 - 4.31095.\nAnswer: -9709.80095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3162 = 7*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1\/4)\/i*i*i**(-1)*i*(i**0)**(13\/4)*(i**6*i**(6\/7)\/i)**(-5) assuming i is positive.\nAnswer: i**(-827\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 28244511 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = 4*o - 294. Calculate the remainder when o is divided by (-2)\/20*(-27712)\/96 + 2\/15.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: -2 * -254\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -796.5 + 796.74. Which is the nearest to -0.1? (a) -1\/2 (b) k (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 44.9 - 45. Let t(p) = -61*p - 4. Let x be t(-7). Let y be -7 - -2 - x\/(-81). Sort 10, i, y.\nAnswer: i, y, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 9) in base 10?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1ec4 (base 15) to base 7\nAnswer: 25363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/141))**(3\/19) assuming t is positive.\nAnswer: t**(-2\/893)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*p - 4*z, z = 7*p - 6*p. Let w(l) = 4*l + l**2 + l**2 - p*l - 6*l + 1. What is w(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 164*z + 6. Is 14 a factor of a(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 250465171?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1534409 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/324*4)\/((-2)\/114).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 60, 422, 1394, 3276, 6368, 10970?\n\"Answer: 50*n**3 + 5*n**2 - 3*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -100*v**2 - 3424*v - 6784. Let l(i) = 19*i**2 + 685*i + 1357. Let a(q) = -16*l(q) - 3*w(q). Let a(g) = 0. Calculate g.\nAnswer: -170, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3347.8 and -34.\nAnswer: 3313.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bmbbjcjbbxdcbdxbdxc. What is prob of sequence cbbx?\nAnswer: 21\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2409.5335 rounded to the nearest 100?\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(210)\/sqrt(6)*2)\/(sqrt(84)\/(sqrt(36)\/sqrt(3))*-4) + -1)*6.\nAnswer: -6 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 1. Let g(n) be the second derivative of n**3\/6 + 4*n**2 - 573*n. What is -4*c(q) + g(q)?\nAnswer: q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 7*v**2 - 11*v - 2. Give q(8).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d**3 + d**2 + 2*d + 1. Let q be y(-1). Solve 0 = 2*f + 5*v - 30, 5*f - q*f = -4*v + 31 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -220, -355, -490, -625?\n\"Answer: -135*q - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 8 - 48)*(2*t - 5*t + t) - 1 - 3*t + 1 + (0 + 2 + 0)*(2*t - 3*t + 3*t).\nAnswer: 109*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 2. Suppose 4*g - w = 5, u*g - 10 = 3*w - 5*w. Suppose 0 = -3*k - 5*x + g*x + 18, x = 4. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 24 + 3*l**2 - 5*l**2 - 25. Give d(5).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 + 13 + 138 + (-12 - (-14 - 2)).\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1471 and 8.\nAnswer: 11768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 16*w**2 - 42*w - 102. Let q be d(-18). Solve 3*a - 6 = 2*f, -q*f = -3*a - 7*f + 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/3808 and -31\/20.\nAnswer: 19040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 37, -4, 4, 10 in increasing order.\nAnswer: -4, 3, 4, 10, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 281, 326, 371, 416?\n\"Answer: 45*f + 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-6\/11)*v**3)\/(v*v\/v**(-3\/4)*v\/v**(-3)) assuming v is positive.\nAnswer: v**(-189\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence emk when three letters picked without replacement from memkmmmmm?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0958328 or 163?\nAnswer: 0.0958328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -4*q - 11614, -3*q + 27713 = 5*j - 1361. Let z(r) = 5814*r**3 - j*r**3 + 6*r**2 + 2 + 3*r + 3*r. Calculate z(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -7*w. Let a(z) = z**3 + 5*z**2 - 7*z - 1. Let m be a(-6). Let t(u) = -m*u + 4*u + 4*u. Calculate -4*b(i) - 9*t(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*p + 116 = -143 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 0 + 4)*(1 + 2 - 6) + 26 - 25 - 70)*(4 - 6*d - 4).\nAnswer: 396*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -17*q**2 + 117*q + 1697. Let w be y(-16). Which is smaller: w or 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 347116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12110033.\nAnswer: 13, 131, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -1.979733.\nAnswer: -1.979733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 115, 120, 125, 130, 135, 140?\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yiiyiiii?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(112)\/sqrt(2)*2)\/((sqrt(168)\/sqrt(3))\/sqrt(7)))**2 + -2*(sqrt(7) - -6*sqrt(7)*2 - (sqrt(28)\/sqrt(4) + 3))**2.\nAnswer: -2006 + 144*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43 + 39. Let m be n*((-2)\/(-4))\/((-3)\/6). Factor 2\/13*k**5 - 6\/13*k**2 - 2\/13*k**m - 10\/13*k**3 + 0 + 0*k.\nAnswer: 2*k**2*(k - 3)*(k + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of k**8\/1344 - k**7\/1260 + k**6\/720 - k**4\/12 + k**2. Let y(s) be the second derivative of p(s). What is y(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1485 + 2949. Suppose t = -j + 5*j. Let g = -155 + j. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6848.85 decades in months?\nAnswer: 821862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*y**2 + 1699*y + 14802 wrt y.\nAnswer: -4*y + 1699","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-6) + (-9 - -19)\/(-30).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1450713 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 51596039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 + -23. Let j = 5 + a. Which is bigger: 1\/7 or j?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 116797379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 882756352 to the nearest integer?\nAnswer: 959","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ununtnppnua. Give prob of picking 1 p, 2 n, and 1 t.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 1149294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-270)\/(-330) - 4\/(-22). Suppose k - n = -3*l, 4*k + 5 = 3*l + 24. Which is the second smallest value? (a) 1\/2 (b) 3 (c) l (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -4*t**2 + 4*t. Let q(w) = w**2 - 2*w. Let g(o) = -j(o) - 2*q(o). Let b be 12 + (-2 - -1) - 1. Let i(m) = -m + b*m - 2*m. Determine i(g(y)).\nAnswer: 14*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*k**2 - 115*k + 261?\nAnswer: 8*k - 115","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3517696 + 21191\nAnswer: -3496505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 i, and 1 q when three letters picked without replacement from {t: 1, q: 1, f: 1, c: 2, v: 1, i: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 64 = -2*s - 2*s, o - 5*s - 8 = 0. Suppose -6*u = -m - u - o, -3*m = -u - 2. What are the prime factors of 12*m*(-1)\/(-2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.2*-0.505.\nAnswer: -0.606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3446 + -1396. What is the lowest common multiple of 25 and l?\nAnswer: 2050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 891455562?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1182*c**4 + 2263.\nAnswer: -4728*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 72\/43 + -562\/387. Which is the closest to 0? (a) 14 (b) r (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*v = -43*v + 5*x + 13, 2*v - 5*x - 31 = 0. Solve -v*g + 4*g = -5*o - 7, 0 = 5*o - 2*g + 16 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1584765692 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-3 + 0) - 9\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - -6) + 8 - 1. Suppose -17 = 4*v - 6*v + 5*p, 5*v + 5*p + u = 0. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -16579875 = -16579911?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*h + 27*h = -5. Find the third derivative of -75*o**2 - 10*o**h + 0 + 55*o**2 + 0 wrt o.\nAnswer: -600*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 12:06 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 4*f**2 + f**2 - 3 in the form i*f**2 + m*f + a and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 588\/(-16)*2772\/(-27). Let l = z - 1790. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p + 14*p + 139313 - 139313 - p**2.\nAnswer: -p**2 + 12*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9.7 and -1.\nAnswer: 9.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -50962 * -100\nAnswer: 5096200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 85, -0.076 in ascending order.\nAnswer: -2, -0.076, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.5 greater than -0.63?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1 + (-2 - -3) - -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9325*-0.5.\nAnswer: -0.46625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*b - 4 + 0*b + 3*b - 84572*b**3 + 42282*b**3 + 5*b**4 + 42280*b**3 to the form s*b**2 + j + y*b**3 + g*b**4 + d*b and give y.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -4*l + 107. Let p(t) = -1. Let r(v) = o(v) + 4*p(v). What is the remainder when 87 is divided by r(17)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.071 + 0.36\nAnswer: 0.431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 126962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -21 + 21 + f**3 - 4*f + f**2. What is i(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -81 - -95. Suppose -y*n = -8*n - 6930. What are the prime factors of n?\nAnswer: 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h. Let l(j) = 2*j**2 - 21. Determine l(t(x)).\nAnswer: 2*x**2 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 9*d**2. Let w(k) = -225*k**2 + 123*k**2 + 120*k**2. Determine c(w(g)).\nAnswer: 2916*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 2*c - l + 115, -4*c + 5*l = -424. What is the smallest common multiple of c and 7?\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + (-2 - -2) + 15. Suppose -2*a + 4*x - g = -3*a, 0 = -3*a - 2*x + 76. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/12 and -75\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146*x**2 - 133*x**2 + 73624 + 3*x - 73624.\nAnswer: 13*x**2 + 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57 + -15 + (-11 - (-24 + -5) - 7).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 42*j + 66. List the prime factors of y(7).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -2, 3\/16, -1, -2\/3, -0.3 in descending order.\nAnswer: 3\/16, -1\/5, -0.3, -2\/3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g + 23*g + 10 = 0. Is (3\/g)\/(3\/(-598)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*t - 746 = 32*t. Suppose -4*f + t = 5*w + 21, -3*w = -3. Is 20 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3321 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (388\/190 - 2)*10\/(-4).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -3, 114, 5, -241 in descending order.\nAnswer: 114, 5, -3, -6, -241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.9 - -4.8. Let l = -107 + 103. Let z = s - l. Round z to zero dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, q: 1, r: 1, c: 6, h: 3}. What is prob of sequence ttch?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5198\/43, 18, -4, -2, 2 in decreasing order.\nAnswer: 18, 2, -2, -4, -5198\/43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - x = -308, -48*v = -44*v - 4*x - 652. Solve 0 = 199*t - v*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 177\/6 - (-63)\/(-966)*23?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 114.78 * 79\nAnswer: 9067.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**(1\/32)*f\/f**(-3\/4) assuming f is positive.\nAnswer: f**(87\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44 + -60. Let x = -11 - b. Suppose -3*u - x = f - 28, -27 = -3*u - 3*f. What is the greatest common divisor of u and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -40940*l**2*u*z + 1122*l**2*z - 3230*l*u*z - 19218*l*u - 2*l*z + 2*u wrt l?\nAnswer: -81880*u*z + 2244*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 390\/(-14) + 23 - -4\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of 13*u**6\/120 - 261*u**5\/20 - 55*u**2. Find the third derivative of q(h) wrt h.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvu when three letters picked without replacement from vuvvuvvvavaua.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - (3 + (-6)\/3). Let t = 4.211 - 0.211. Which is the nearest to t? (a) 4 (b) i (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -13. Let s(f) = 5*f - q + 11*f - 3*f + 11*f. Is s(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -0.3 (c) -65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, s: 1, q: 1, k: 1, n: 1, e: 2}. What is prob of sequence nek?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 3:12 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (7 + -2)*15\/25. Let x(n) = n**2 - 1 + 6 + n - 4 - n**3 - n**t. What is x(2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25427957*z**5 + 612*z - 40566 wrt z.\nAnswer: 508559140*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1003, 2000, 2997, 3994, 4991?\nAnswer: 5988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220 = -275*s + 253*s for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -482*s**4 - 717*s wrt s.\nAnswer: -5784*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = 4*b - 9, 0 = -2*b + 7*b - n - 18 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3301 times 2.5?\nAnswer: 8252.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 4 = -5*v + 8*v, 4*y + 8 = 4*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of b**4\/12 - 4*b**3\/3 - 15*b**2\/2 - b. Calculate the remainder when 14 is divided by m(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-2)*8\/20*25\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of ((-2056)\/6)\/((-4)\/3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3688635 (base 9) to base 14.\nAnswer: -3a3819","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -621636*t + 621636*t - 4958*t**3.\nAnswer: -4958*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 20324?\nAnswer: -20324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 5 + -3 + 7 - 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0013762147 to six decimal places.\nAnswer: 0.001376","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -6*n**2 + 10*n - 7. Let m(h) = h**2 + 1. Let g(u) = -i(u) - 4*m(u). Let j be g(6). Suppose -2*a - j = -51. Does 6 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of 13\/2*j**2 - 38*j + 5\/9*j**4 - 4\/3*j**3 + 0 - 1\/30*j**5. Let m(r) be the first derivative of o(r). Factor m(z).\nAnswer: -2*(z - 6)*(3*z - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 673941851 is divided by 5052.\nAnswer: 5051","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*d - 11*d + 0*d**4 - 19*d**5 + 0*d**4 wrt d?\nAnswer: -380*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -72 + 75. What is the third smallest value in h, 2, -3, 4\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -182, -188, -198, -212, -230?\n\"Answer: -2*m**2 - 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**(-4))\/j)\/(j*j\/j**19*j))**(-1\/23) assuming j is positive.\nAnswer: j**(-20\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -93\/5*a - 1\/5*a**2 + 38.\nAnswer: -(a - 2)*(a + 95)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -10*d - 6, 36920*t - 36921*t - 3 = -d for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-8)\/4)\/(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8 - -43)\/(-7))\/(-6 - -5). Solve 0 = 4*s + n*q - 13, 2*q = 4*s + q - 7 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -2, 61 in increasing order.\nAnswer: -4, -3, -2, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*q - 3 + 2 = 10 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2345, -4437, -6529, -8621?\n\"Answer: -2092*b - 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**2 + 12*p**2 + 3*p**2.\nAnswer: 18*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 g when two letters picked without replacement from geenqeq?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.84 - 22.36. Let g = f - -23. Which is smaller: g or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 634 divided by 3\nAnswer: 634\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3751 divided by -9\nAnswer: 3751\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 9*a - 41 = 4*a, 4*n = a + 11. Let g(o) = o**2 - 58*o + 268. Let k be g(5). Which is smaller: n or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 6*m**3 + 114*m**2 + 94*m - 250. Calculate k(-18).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.213 - 0.023. Let l = -1.19 + p. What is the biggest value in l, -7, -8?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 433 - 32. Suppose f = 3*r + 4*i - 3722, -6890 = -5*r - 3*i. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 2*i = 2, 6*i - 7*i - 2 = o. Is o\/(-2)*(-57370)\/15 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1252978283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000460183894 to six decimal places.\nAnswer: 0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -225*k. Let d be r(-6). Suppose 2*x - d = -7*x. List the prime factors of x.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20854 - 7821 + 37110 = -1223*n for n.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2865 and 36?\nAnswer: 34380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 2\/69 (b) -4 (c) -5 (d) 5496\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37 + 51. Calculate the remainder when 32 is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 25*s. Let k(j) = -1718*j + 3. Give k(x(m)).\nAnswer: -42950*m + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 926 (base 16) to base 4.\nAnswer: 210212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -203908824 divided by -62\nAnswer: 3288852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -4*m + 10*m. Calculate the remainder when 6 is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -108*u**4 - 220*u**3 + 748*u**2 - 404*u - 16 = 0?\nAnswer: -4, -1\/27, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4543 (base 9) to base 7\nAnswer: -12540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - u = 3*t + 4, -2*u - 8 = -3*t. Solve -16*p - 52 + 36 = t for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 s when two letters picked without replacement from cqfirisc.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/6148 and -4\/29377.\nAnswer: 6227924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 24 = 2*t, -5*t + 121*n - 57 = 119*n for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(3 - 3 + 2*z) + (2*z - 3 + 3)*(60 - 351 + 174).\nAnswer: -232*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 33 = 3*h, -79 = -5*o + h - 2*h. Let d(g) = -11*g + 1 + 24*g + 99*g**3 - o*g + 2*g**2. List the prime factors of d(1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by 27\/(-2)*(-2)\/3.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 383317 at least as big as 383317?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three tenths of a millennium?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 2 = 2*b, -b + 4 = 2*b + 4*h. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11057108.4 + -35.\nAnswer: 11057073.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 3*i - 2*h + 8, i - 13 = 5*h. Let v(r) be the first derivative of 1\/3*r**i + r + 2 - r**2. Let v(j) = 0. What is j?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 91 (b) -5\/17 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -115\/3*y + 1\/3*y**2 + 252 = 0. Calculate y.\nAnswer: 7, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + 8*z**2 + 10*z - 9. Let k be g(9). Let n = -0.12 - 0.28. What is the nearest to 2 in k, n, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 372531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 423091034?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -3 + -2 + -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + ((1*sqrt(90) - sqrt(90))*-3 + sqrt(90))\/(sqrt(50)\/(sqrt(10)*3)))**2*1.\nAnswer: -163 + 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - c = 3*n - 81, -5*c = -15. Calculate the highest common factor of n and 308.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-14))\/(132\/154).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12592908 and 19.\nAnswer: 239265252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/15 of a week?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 21*o - 32 = -23*o, 13 = -2*m + o. Solve 5\/3*z**3 + 1\/6*z**4 - 70\/3*z + 98\/3 - 1\/2*z**m = 0 for z.\nAnswer: -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52a89 (base 11) to base 15.\nAnswer: 17cee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 208491 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 4*b - 29 = -0*b, 2 = -i + b. Let l(j) = 4*j - i*j + 18 - 16. Is 6 a factor of l(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 316001?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 - (162\/15)\/2. What is the nearest to k in 4, 0, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**3 - 111 + 70*j**2 - 70*j**2 - 2*j**3 + 2*j**3.\nAnswer: 2*j**3 - 111","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7750543?\nAnswer: 509, 15227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.13321 rounded to two dps?\nAnswer: 8.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 724762?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 42 - -21?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f - 40. Let z(k) = 55*k + 177. Let v be z(-3). What is t(v)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/29)\/y**(-2\/9))\/((y*(y\/(y\/(y\/y**33))*y)\/y)\/(y**(1\/6)*y)) assuming y is positive.\nAnswer: y**(16889\/522)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7025.\nAnswer: 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 424244 - 2522?\nAnswer: 421322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n**2 + 0*n**4 - 3*n**2 + n**4 - 4*n**3 + 2*n**2 + n in the form b*n**2 + r*n**3 + c*n**4 + i*n + o and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 256 times -4?\nAnswer: -1024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of q**5\/35 - q**4\/28 - q**3\/21 + q**2\/14 - 19. Suppose d(b) = 0. What is b?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1)*b)\/(b\/(b*b*b**3)))**(-11\/2) assuming b is positive.\nAnswer: b**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 929, 921, 903, 869, 813, 729, 611, 453?\n\"Answer: -o**3 + o**2 - 4*o + 933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 - 0.4. Let t = -15.6 + 15.6. Which is the smallest value? (a) t (b) m (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*j)*(4*j - 5*j - j) + 194*j**2 + 5 - 201*j**2 - 2 + 1037 - 62*j**2 - 1037.\nAnswer: -65*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 188273 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -23.725103 and 4765.89.\nAnswer: 4742.164897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*u + 83 + 106. Suppose u*c - 23*c - 160 = 0. Calculate the lowest common multiple of c and 1\/(1\/((-10)\/(-1))).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 8*n = -2, 5*r - 20 = -2*n - 28 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((0 - 1)*3 + 1744\/560)\/(-2).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r + 1. Let o be 2 - (1\/(-1) - -4). What is z(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/301932 and 59\/63.\nAnswer: 2113524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11288*n + 3764*n + 3763*n + 3760*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - h - 2*j + 198, 165 = 4*h - 5*j. Let t = 4 - -1. What is the highest common factor of t and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -76 + 81. Let p(d) = d**3 - 5*d**2 - 1. What is p(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*s = -3 + 3. Suppose p - 4*t = 4, -3*p + 16 = p + 3*t. Suppose s = z + 5, x = -p*x - z - 655. What is x rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-46)\/15 + 202\/(-1212)*4*-1?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 1 - -2) + (9 - 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7086 + -7086.4. Let s = -2.7 - -2.2. Let x = 0.3 - -0.7. What is the second smallest value in x, k, -4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a hour in minutes?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - z + 5*z - 615, -2*g + 2*z = -228. Let r = -60 + 142. Let a = g - r. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1))**(-25)\/(c*c**(-1))**(12\/11)*(((c*c**(-1\/4)*c)\/c)\/(c**(2\/3)*c))\/(c**5\/c**(4\/9)) assuming c is positive.\nAnswer: c**(703\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 31483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2092415 a multiple of 181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z - 2. Let m(w) = w**3 - 3*w**2 - 4*w - 2. Let t be m(4). Let a be r(t). Suppose 4 = n - a*n. Solve d + n*s + 11 = 0, -3*d + 2*s = -6*d - 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**2 + 3*o**2 - 5*o**2 + (2*o - o + 2*o)*(17*o - 4*o + 18*o) + 0*o**2 + 3*o**2 + 2*o - 1 + 3.\nAnswer: 94*o**2 + 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, c: 1, j: 4}. What is prob of picking 3 j and 1 v?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149033131.\nAnswer: 13, 19, 107, 5639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1299913637?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 5280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*m**5 + 65*m**4 + 911*m**3 + 585*m**2 + 16*m - 101 wrt m?\nAnswer: -420*m**2 + 1560*m + 5466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 503*g - 4063. What is the ten thousands digit of n(72)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50319197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20198, 20136, 20036, 19898?\nAnswer: 19722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/9 - 265570*l\/9 - 265568\/9.\nAnswer: -2*(l + 1)*(l + 132784)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-20)*-5*(-4 - -4). Factor 2*n**5 + 0 + 0*n + v*n**2 - 2\/3*n**3 - 4\/3*n**4.\nAnswer: 2*n**3*(n - 1)*(3*n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 8 + 0)*(-125*y - 307 + 307) + (y - y - y)*(-1 + 1 + 2).\nAnswer: -1502*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.013 + 9.987. Let h = -43 - p. Let i = h - -52.5. Which is the biggest value? (a) -5 (b) i (c) 2 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1890.28917 nanoseconds in days?\nAnswer: 0.000000000021878346875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**2 + 3*d - 19. Let g be c(4). Let h be 48*(4\/(-26) + (-32)\/g). What is the highest common divisor of 40 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1672167, -1672225, -1672321, -1672455, -1672627?\nAnswer: -1672837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that i**5\/3 + 279*i**4\/2 - 2105*i**3\/6 = 0.\nAnswer: -421, 0, 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a + 2*a + 15 - 5*a. Let y = 1 + 7. Is p(y) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 79, 51, 5, -59, -141, -241?\nAnswer: -359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 838 - -885503?\nAnswer: 886240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 42, 58, 74, 90?\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8402 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*j + 5726 - 5774 = -18850 for j.\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 1146678.\nAnswer: 1146678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 k when four letters picked without replacement from {z: 14, k: 5}?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -4. Suppose 5*i - 16 + 6 = y. Solve i*u**2 + u - u**3 + 0*u**2 + 2*u**3 = 0 for u.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 5*h - 5, -3*q - 5 = -5*h - 0. Suppose -3*d + 4*d = 2. Suppose -4*r + 6*r - d*o = 2, -r - 15 = -q*o. Solve -r*f - 2 = 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6235544 (base 7) to base 10\nAnswer: -748703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11*(17\/7 - (-6)\/(-14)) and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116821 at least 116686?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + 4*w**2 + 3*w + 2. Let d be o(-3). Which is the closest to d? (a) -0.2 (b) -1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*31752030\nAnswer: -9525609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-8*(-3)\/136)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oror when four letters picked without replacement from roovoor.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssmbnqnmd. What is prob of picking 1 m and 1 b?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = r + 39, 0*r + 5*r = -20. Determine g so that g**2 + 3*g + 16 + 3*g - c = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 63008336 + -104278790799\/1655. Let m = 3\/331 + x. Which is the second biggest value? (a) -7\/6 (b) -0.1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(76\/28)\/((-51)\/119).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22069104641 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 355*r - 189375326 - 370090006 = 7*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9600)\/144*-1*9*7\/((-315)\/(-6)).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -872*x - 90259 + 23115 = 0 for x.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 406 and 105?\nAnswer: 6090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c - c + 0*c)*(-1 - 3 + 2) + 4*c - c - c to the form i*c + x and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 21*i**5 - 10617*i**4 - 37095*i**3 + 228045*i**2 - 265866*i + 85512 = 0.\nAnswer: -7, 4\/7, 1, 2, 509","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + 11. Let f = c + -11. What is the second derivative of 0*n**5 + 11*n - 3*n**5 - f*n wrt n?\nAnswer: -60*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -2\/191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71 - 24 - 27 - 20 + 8*v.\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 12 + 18 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*u**2 + 26*u**2 + 26*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - 22*s + 36. Let h be t(11). Suppose n + 4*k - 46 = -198, 10 = -5*k. Let x = h - n. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1 + (-1*sqrt(833))**2.\nAnswer: 835","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1634*(-18)\/((-576)\/(-112)). What is the greatest common divisor of j and 2709?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3)\/j)\/((j**(-2\/57)\/j)\/j)*((j*j**23)\/j)\/j**(-3\/2) assuming j is positive.\nAnswer: j**(2569\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 4*s**2 - 18*s - 1. Let y be l(5). Suppose y*f = 98 + 3412. Is 13 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 79, 204, 337, 478?\n\"Answer: 4*d**2 + 113*d - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from fccfcpffpfcpfp?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1304557 and 38942?\nAnswer: 2609114","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.2 + 0.2. Let l(c) = -20*c - 33. Let i be l(-14). Let j = 244 - i. What is the fourth smallest value in 2\/7, 1\/2, j, v?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(81) + sqrt(81)*-4)\/sqrt(3))\/((sqrt(144)*-3 + sqrt(144) + sqrt(144) - sqrt(144) - sqrt(144)) + sqrt(144)).\nAnswer: 3*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(91)\/(sqrt(14)\/sqrt(2)) + 0)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of -5*b**3\/7 + 3*b**2\/2 - 6*b\/7 + 6. Factor s(o).\nAnswer: -3*(o - 1)*(5*o - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -1 + 5*y**2 + 6*y + 4 - 5*y**2 - y**2. Calculate o(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -6, 3, 1 in decreasing order.\nAnswer: 9, 3, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -297929*q - 2681349. Calculate b(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200 is divided by 26?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 3 - (3 - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -352*c**3*k**2 - 4*c*k**2 - 2*c + k**2 wrt c.\nAnswer: -2112*c*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z + 12*z**4 - 46*z**3 - z**5 - 30*z + 8*z**2 + 52*z**2 + 0*z.\nAnswer: -z*(z - 5)**2*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -4*c**2 + 2*c**2 + c**3 + 7 - c**2 + 3*c. Let u be j(5). Let q = u + -40. Calculate the remainder when q is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 205*u**2 + 1. Let n(r) = 2*r. Give n(i(b)).\nAnswer: 410*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -22 - 4522662*y**2 + 4522662*y**2 - 199*y**3 in the form m + s*y**2 + c*y**3 + i*y and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 86259298?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 3, 3*d + d = -2*c + 16. Let j be 1\/(1\/(-2)) + c. Suppose -5*m + 375 + 285 = j. Calculate the highest common factor of 12 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 2 = 0, -658 = r - 2*l - 657 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.23, 2\/9, -2?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -4. Let i = -13047 - -13038. Which is the second smallest value? (a) i (b) 3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p - 2. Let j be s(-6). Let c = -3 + 2.5. Put j, -1, c in descending order.\nAnswer: j, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 183 divide 651584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4866 or -6341?\nAnswer: -6341","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4724342 + 2*t - 4724342.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 4*l**3 + 7*l + 2. Let r(u) = 4*u**3 + 8*u + 3. Give -4*j(a) + 3*r(a).\nAnswer: -4*a**3 - 4*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -0.4, -0.04, -32, -1.83?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2433941 and 3451?\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of j**4\/12 - 7*j**3\/6 + 5*j**2\/2 - 5*j. What is the remainder when 50 is divided by x(8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.51 + -0.11. What is the smallest value in n, 0.2, -2\/17, 0.3?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 11:21 AM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/(-3) - (-660)\/9 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7786 is divided by 104?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 5*q = -m + 60, -3*q = -3*m - 36. Let r = q + -4. What is the remainder when 13 is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (68\/(-12))\/((-116)\/(-348))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6*((-368)\/(-6) - 0). Let b = 817 - a. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -4*w + 1440, -3*w + 4*k + 1080 = -0*k. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/13 + 4645478*z\/13 - 13936452\/13.\nAnswer: 2*(z - 3)*(z + 2322742)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8007 - -7936 - (-10 + -2 + 1)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/14 + (-78)\/(-21). Let z = j - 0. Find the third derivative of -3*q**z + 4*q**4 + 3*q**2 + 3*q**4 wrt q.\nAnswer: 96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2601 and 306?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -121919, -121934, -121949?\n\"Answer: -15*h - 121904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 4*h - 17. Let p be v(5). Suppose -u + 33 = -4*f, 6*u - 150 = p*u - 5*f. Let i be (-3)\/(u\/(-20))*(-3)\/2. Which is greater: -3\/5 or i?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 635325 (base 10) to base 7\nAnswer: 5254155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2 + 4*(2*2*sqrt(76) + -1*(sqrt(76) + 2)))**2*3.\nAnswer: -144*sqrt(19) + 32835","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4699101046 to the nearest integer?\nAnswer: 1675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1585664, -3171347, -4757030, -6342713, -7928396?\nAnswer: -9514079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 31074882*b. Let g(q) = q. Give x(g(m)).\nAnswer: 31074882*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 121 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 130 (base 5) to base 4\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -1\/56*l**8 + 0*l**5 - 5\/12*l**4 + l + 8*l**2 - 84 + 0*l**3 + 0*l**7 - 5\/6*l**6. Find the third derivative of f(k) wrt k.\nAnswer: -120*k**3 - 600*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 40*p + 1878. Calculate the remainder when b(-39) is divided by 54.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -100, -99, -98, -97, -96?\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1468 - 2499?\nAnswer: -1031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 192, -5, -4, 1, 5, -5.4 in increasing order.\nAnswer: -5.4, -5, -4, 1, 5, 192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -6*h + 6. Let u be p(-1). Solve -26 = m - 5*d, -m + 4*d = 9 + u for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*u + 36*u + 4 - 6)*(-5 + 9 + 6) in the form n + h*u and give h.\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 4*l**2)*(1262*l + 7764 - 7764) - 2*l**2 + l**3 + 2*l**2 + (-l**2 - 2*l + 2*l)*(-3*l + 2*l - 2*l) + 2*l**3 + 0*l**3 - 3*l**3.\nAnswer: -5045*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3143?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2627*g**2 - 98*g**2 + 28*g**2 in the form z + h*g**2 + a*g and give h.\nAnswer: -2697","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + 12*c**2 + 12*c - 2. Let s be o(-10). What is the greatest common divisor of s and 117?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - (-2 + 10*2)) + -2. Let y = 417 - l. Let v = y + 194. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 745444 to the nearest integer?\nAnswer: 863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2561*m + 2 - 2561*m + 10252*m - 2566*m - 2565*m. Let v(d) = -13*d + 3. What is b(v(i))?\nAnswer: 13*i - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**2 - 19*d - 66. Calculate a(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 + 43. Suppose 0 = -258*x + 257*x + l. Let g be 36\/126 - x\/(-7). Solve g*n = -3*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (f**2 - f**2 + 5*f**2)*(-2 + 12 + 0)*(5 + 0 - 3)*(-3 + 1 + 6) as d*f + g + h*f**2 and give h.\nAnswer: 400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 7:46 AM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 93630535 rounded to the nearest one million?\nAnswer: 94000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-5)*p)*p*p\/p**14*p*p)\/(p\/(p**(1\/3)*p*p))**49 assuming p is positive.\nAnswer: p**(181\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 3*p**3 - 13890*p**2 - 13899*p + 27786 = 0.\nAnswer: -2, 1, 4631","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49 - 32. Suppose 204 - a = 11*t. Find the second derivative of -11*q**3 + t*q - 7*q**3 + 6*q**3 wrt q.\nAnswer: -72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 169654 and 190.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1492*c**3 - 1631*c**3 + c**2 - 2372*c**3 - 4338*c**3.\nAnswer: -6849*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6694 - -6729. Solve x*u = 29*u - 30 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 538485 and 0.054.\nAnswer: 29078.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from efrfefyffxlel. Give prob of picking 1 e, 1 x, and 2 f.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -1456249*y**2 - 7. Let x(w) = -w - 1. Let l(s) = d(s) - 3*x(s). Let t be l(-4). What is t rounded to the nearest 1000000?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, u: 2, w: 1, k: 3, q: 4, h: 1}. Give prob of picking 1 m, 1 h, 1 k, and 1 q.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 0 (c) -2 (d) -1\/6 (e) -0.37 (f) 10.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8207*r - 2647*r + 2 - 2782*r - 2784*r - 2.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 110*n**2 - 581*n + 681. Calculate a(115).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*q - 463513 = -466793 for q.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/15 - (-98)\/5. Let h = -3 - -5. Solve -2*g - h*g - u = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(55\/30)*(-176)\/(-80)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 - 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6616*f**2 + 2256.\nAnswer: 13232*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -243*j**4 + 621*j**3 + 312*j**2 + 36*j.\nAnswer: -3*j*(j - 3)*(9*j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -314231?\nAnswer: 314224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide (3\/2)\/(99\/924)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/5, -1\/3, -0.192, -32\/7, 30?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-5)*(-93)\/186.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -140 (base 14) to base 11\nAnswer: -20a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 201 = 2*i - a, -5*a = -5*i - 9*a + 509. What is the remainder when 3023 is divided by i?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -5, 7, -1, 0 in increasing order.\nAnswer: -7, -5, -1, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11138, 11133, 11120, 11099, 11070, 11033, 10988?\nAnswer: 10935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 677605?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 939326180?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -108 and 36.\nAnswer: -3888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 4550?\nAnswer: 4543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = c + 10 - 10. What is the second smallest value in 3\/2, c, -5, 1\/4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69914 = 3*j - 4*n, -2*n + 3*n = j - 23303. Let x = -10975 + j. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6016, -12723, -19416, -26089, -32736, -39351, -45928?\n\"Answer: h**3 + h**2 - 6717*h + 699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 224128417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -82 at least as big as -81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (20 + 16)) + 118\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/5 + (-1)\/(-15)*9. Let a be 2*2*1\/(-26). What is the third smallest value in h, a, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2023362 + 24?\nAnswer: 2023416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -949719196.5 and 1455.\nAnswer: -949717741.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.009307 and -0.062.\nAnswer: -0.071307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -65577?\nAnswer: 65580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 72*b - 36*b**2 - 15*b**3 + 13*b**3 + 73*b**2 - 39*b**2 + 59*b - 2 in the form u + j*b**2 + w*b**3 + d*b and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2. Let x(q) = 1. Let h(b) = b + 11. Let m(r) = -h(r) + 6*x(r). Let z be m(-11). Let p(g) = 6*g - z*g - 2*g**2. What is u(p(s))?\nAnswer: 4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2*y = -10. Let i(z) be the third derivative of z**6\/120 + 3*z**5\/20 - 5*z**4\/8 + 17*z**3\/6 - 469*z**2. Is i(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 4)*(1 - 3*v - 4 + 7*v) to o + r*v and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - -2*sqrt(84))*-3)\/sqrt(12)*-5 - (-1*(sqrt(63) - sqrt(7)) - (sqrt(7) - (sqrt(175) + 0)))**2*-1.\nAnswer: 28 + 45*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.13 + 6.130514. Round f to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3656 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.6 + 1. Let v = -20\/3 + 62\/9. Put c, -1, v in descending order.\nAnswer: c, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 606db?\nAnswer: 606d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.652839ms to seconds.\nAnswer: 0.002652839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*1*sqrt(228)*3)\/(5*-3*(sqrt(12) + sqrt(48)\/sqrt(4))).\nAnswer: sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 262310?\nAnswer: 2\/131155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3340 divided by -4\nAnswer: -835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c = 10*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -3*n - 1. Let y(a) = 9*a**2 - 1. Let l be y(-1). Suppose 3*g - 2*f = -g - l, -5*f = g + 13. What is the lowest common multiple of 20 and q(g)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47953 is divided by 444?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - 121?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 72681 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-4 + -6*(-4 + -4*(sqrt(396) + 0))*5 + 4)**2.\nAnswer: 172800*sqrt(11) + 5716799","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*b = 64*b + 2408. Does 3 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3350?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17849279 or -303437740\/17?\nAnswer: -17849279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29561?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.51? (a) 2 (b) -3\/7 (c) -3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 93*b**2 - 9*b**4 + 48*b**3 - 228*b**2 + 6*b**4 - 486*b = 0.\nAnswer: -2, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*k + 4*d + 29, 0 = -3*k + 3*d + 18. Suppose -3*o + 2*z = -2948 - 4275, k*z - 10 = 0. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001873824 rounded to 7 decimal places?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q - 972 = 12*q - 5*d - 951, 5*d - 6 - 15 = -6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 80*m + 5128. Give d(-42).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5361291 or 5361272?\nAnswer: 5361272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3*y + 2 = 0, -4*y + 0 = 3*i - 4. Suppose -i*f + 2*r + 7 + 13 = 0, 3*r + 21 = 3*f. Let v = -4 - -6. Solve -4*a - f - 5 = -v*w, 3*a + 8 = w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k\/(k**(-8)*k)))\/k**8)\/(k**(-1\/7)*k**1) assuming k is positive.\nAnswer: k**(-104\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1264*f - 1284*f + 50 = -5*p, -5*f - 2*p = -f - 16 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qv when two letters picked without replacement from {h: 1, q: 12, v: 7}?\nAnswer: 21\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.06 - -0.01. Let g = -135 - -134. Let a = 19 + -18. What is the nearest to g in 0, a, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + 19*w**2 - 6*w + 79. Let z be l(19). What are the prime factors of 355*(-42)\/z - 0?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 592 - 592.1. Let m = 23 + -23.2. What is the second biggest value in l, m, 7, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 2*i + 3)*(27*i + 29*i + 1 - 58*i).\nAnswer: 4*i**2 - 4*i + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1974111 + 5303268 + 13972893 = 408*q. List the prime factors of q.\nAnswer: 2, 29, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -1062*i. Let p(k) = -14*k**2 - 65*k + 15. Let m(s) = 279*s**2 + 1287*s - 297. Let a(l) = -5*m(l) - 99*p(l). Determine a(z(g)).\nAnswer: -10150596*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of 13\/204*m**4 + 3\/170*m**5 + 3*m**2 + 2\/17*m**3 - 33*m + 0 + 1\/510*m**6. Factor a(l).\nAnswer: 2*(l + 1)*(l + 2)*(2*l + 3)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pup when three letters picked without replacement from aalapdddaudpuu.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 4*q**2 + 2*q - 3. Let b be c(4). Suppose b*p - 2*u = -5 - 3, -u = -4. Let g(x) = x**3 - x**2 - x + 2. Give g(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/1087046 and -79\/62.\nAnswer: 1087046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -1\/3*d - 1\/9*d**3 - 40 - 1\/3*d**2. Factor z(l).\nAnswer: -(l + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15203768 is divided by 59.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/432 and -133\/240.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34 + 54. Suppose m - 7*m = -234. What is the remainder when m is divided by p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-76)\/12 - -5)*6\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1451 - 1455. Let i = 21.86 + -23.8. Let f = i + -0.06. Sort f, 1, c in decreasing order.\nAnswer: 1, f, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 times -37453\nAnswer: -411983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -48048797*h**5 + 150*h**2 + 48419*h - 2 wrt h?\nAnswer: -2882927820*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/48 and -9\/64?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 4*v = 28, 3*p - 29 = -p + v. Calculate the smallest common multiple of p and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 510174.\nAnswer: 2, 3, 7, 4049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49 + 15*o - 49)*(0*o**2 - 14*o**2 - 9*o**2)*(6*o - 5*o + o).\nAnswer: -690*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/((-1)\/(4\/(-30))))\/((-1083)\/10830)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5400 and 3489?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32181193.\nAnswer: 11, 19, 31, 4967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-16 - -24)*((-17)\/(-20) + 2\/5). Solve -64*f - c = -62*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = 4*a + 4*r, a - 18705 + 18725 = -3*r for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20933098 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 437 a factor of 10931118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6395 and 320.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of 1\/6*g**3 + 4*g + 0 + 8*g**2. What are the prime factors of h(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - -349. Is d a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3372396 by -1.\nAnswer: 3372396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 PM and 10:01 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fvwppppwpwvs. Give prob of sequence wvv.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8 + ((-60122)\/2944)\/((-5)\/(-2)) and -31\/112.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 12 = -7*a. Let b = -15 + 19. Suppose b*p - 11 = 9. Let d(j) = j**3 + 5*j**2 - 4. Let v(q) = -q**3 - 6*q**2 + 5. What is a*d(w) + p*v(w)?\nAnswer: w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8077*m = 8115*m - 475456. Does 16 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from {z: 2, b: 4}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(3 + 0\/1). Put 4, -4, y in decreasing order.\nAnswer: 4, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 30 = -7*h. Let n(y) = y + 18. Let s be n(h). What is the greatest common factor of 48 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -80 + 142. Suppose x - 7 = 4*t - 5*i, 13 = t - i. Let u = -13 + t. Put -0.1, -1\/5, u in ascending order.\nAnswer: u, -1\/5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 672.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = 3*z - 2*d - d, 84 = 3*z - 4*d. Suppose 7*u + 4 = z. Solve 27 = 3*r + u*l, 6 = 5*r - 2*r - 3*l for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 386c9bc?\nAnswer: -386c9b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44771 is divided by 451.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 11:56 PM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 3*c)*(-6*c**2 + c**2 + 4*c + 7*c**2).\nAnswer: 6*c**3 + 12*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 90*s**5 - s**5 + 128*s**5 + 0*s**2 - s**5 + 0*s**2 + (-s**4 + 0 + 0)*(-2*s + 0*s + 3*s) - s**4 - 2*s**5 + s**4.\nAnswer: 213*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130.80852 nanoseconds to hours.\nAnswer: 0.0000000000363357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6355 + 6355 + 189*b + b + 3 - 3 + (0 + 0 - 2)*(5*b - 3*b + 0*b).\nAnswer: 186*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -357381 to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -23261, -46527, -69793, -93059?\n\"Answer: -23266*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22 - -13233330?\nAnswer: 13233302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2565 and 2025.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 19. Let i(v) = -10*v + 523. What is the remainder when i(46) is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 424, 423, 422, 421, 420?\nAnswer: 419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -12 + (5 - 7) + (-85 - -81) - -66?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 5. Suppose 0 = 4*n - a*n - 24. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 60 = -4*l, -5*g = -2*l - 1 - 3. Let s be (6\/(-4))\/((-3)\/l). Let v(z) = -3*z + 2. Let a(j) = -2*j + 2. Let r(n) = -7*a(n) + 5*v(n). What is r(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -7*f**3\/2 + 488*f + 3. Let h(x) = 180*x. Determine h(u(c)).\nAnswer: -3780*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 32\/5 of a hour?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 260 + -85. Suppose 0 = -4*g + 11*g - n. Solve -4*w - d + 2*d = -g, 2*w = -2*d for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44360000 rounded to the nearest one million?\nAnswer: -44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -5*s**3 + 44*s**2 + 9*s + 18. Let h(c) = 4*c**3 - 38*c**2 - 8*c - 17. Let m(a) = -6*h(a) - 5*j(a). What is m(-7)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -207735 + 207735 - 16820*v in the form s*v + n and give s.\nAnswer: -16820","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 55 + 18. Let p = x + 263. Is p a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m - 11. Let g be k(-6). Let n be g + (-1)\/1 + -1. What is the units digit of (-103 - (-3 + -3 + 5))\/n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 9*l**2 + 15*l - 22. Determine i(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - (sqrt(77) + (sqrt(77)*-2 - sqrt(77))*-3)) + -2*sqrt(77)*2)\/(-6*sqrt(44)*-5) + 0.\nAnswer: -13*sqrt(7)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s - 119*s**3 - 2*s + 46*s**3 - 2 + 46*s**3 to the form f + l*s**2 + r*s + h*s**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-2*(-2)\/20). Suppose -k*l = 5, -4*l + 2*l = 2*t. Let r be t\/2 - (-5)\/2. Solve -3*c = 4*j + j - 20, -r*j + 12 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19105 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 4*y**3 - 64 + 64. Give g(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, c: 1, x: 6, j: 2, a: 1, s: 5}. Give prob of sequence xa.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 454.9 + -455. What is the closest to -0.1 in 1, -2\/3, z, -1\/16?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 51865776*x + 51865776*x - 1534*x**2 to the form h + p*x**2 + d*x and give p.\nAnswer: -1534","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-7) + (-9)\/63. What is the nearest to 2\/3 in h, 2\/7, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15)\/54*3*7\/(-35). Which is the smallest value? (a) s (b) -2 (c) -1\/187\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 53933459 and 11724665?\nAnswer: 269667295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 k when two letters picked without replacement from gkhxxgkxxhxhwth.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 342648*a**3*h**2 - a**3*h + 15*a**3 - 7*a**2*h**2 + 7209*a**2*h - 3*a - 13*h**2 - 29*h wrt h?\nAnswer: 685296*a**3 - 14*a**2 - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 h when three letters picked without replacement from {p: 2, g: 2, h: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 - 8*u - 15. Suppose 48*j - 50*j = 14. Give z(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10303 (base 6) to base 15\nAnswer: 63c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6ced61 + 0?\nAnswer: -6ced61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -221, 0, -0.11, 2\/9, 3\/8 in decreasing order.\nAnswer: 2\/3, 3\/8, 2\/9, 0, -0.11, -221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 27, -1\/3, 8, 3, -57?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33.88 + -5.78. Let q = b + -28.1855. Round q to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*h**2 - 5 + 5)*(-h + 5*h - 2*h) + (3*h**2 + h - h)*(-h + 3*h + 0*h) to the form f + q*h**2 + o*h + w*h**3 and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 3*w = -3, 5472*w - 1 = -4*n + 10940*w - 5469*w for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -62, -254, -576, -1028, -1610?\n\"Answer: -65*t**2 + 3*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1033535 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1540 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 352 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (97*x - 241*x - 535*x)*(-55 - 28*x + 55 + (-2*x - 2 + 2)*(-4 - 2 + 4)).\nAnswer: 16296*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1060677235?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-30)\/3 - -3) + 9. Solve 9*c + 7 = t*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231 is divided by 107.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -11*i**4 - 1689*i**3 - 19080*i**2 - 56052*i = 0.\nAnswer: -1557\/11, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {i: 1, c: 1, k: 1, x: 1, n: 2, l: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 - (-33)\/9)*-9. Let c(t) be the third derivative of 1\/40*t**5 + 0 + 0*t**d + 0*t + 1\/16*t**4 - 4*t**2. What is y in c(y) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4580 - -55025\/12. Let r(m) be the second derivative of 0 + 0*m**2 - 2*m - 5\/3*m**3 + l*m**4. Factor r(d).\nAnswer: 5*d*(13*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r - 38*r**3 + 1022*r**3 + 165367 - 165368 to the form q*r + h*r**3 + f*r**2 + m and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -47603 - -1?\nAnswer: -47602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110000001110 (base 2) to base 15.\nAnswer: dab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cf when two letters picked without replacement from {q: 4, s: 9, c: 3, f: 2}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 270990 is divided by 270772.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 684.0392 kilometers?\nAnswer: 684039200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 7) to base 13\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/3*27\/6. Solve v + x*v = -2*d + 14, 0 = -2*d - 2 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 6\/7 (b) -37.9 (c) 1\/19 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13785710?\nAnswer: 2, 5, 227, 6073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 69394 to the power of 1\/2, to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**4 + 9*r**4 + 0*r**4)*(10*r - 53*r - 2*r).\nAnswer: -360*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/7)*c*c*c\/c**3)\/(c**1\/((c**7\/c)\/c))*(c**0\/c*c)\/(c**1\/c)*(c*c**2*c*c)\/(c**(2\/9)*c) assuming c is positive.\nAnswer: c**(508\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -38 + 75. Let b = 44 - c. Solve -4 = -p, 4*n - 2*p = n + b for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**5\/9 - 192004*t**4\/9 + 682688000*t**3 - 7281777756444*t**2 - 7282460465778*t = 0 for t.\nAnswer: -1, 0, 32001","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4\/9 + 1384*m**3\/3 - 562614*m**2 + 173865000*m - 15781640625.\nAnswer: -(m - 1875)**2*(m - 201)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/452 and 23\/22.\nAnswer: 4972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3149\/30 - -105. Find the common denominator of h and 20\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.52 + -0.51999963. What is m rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56195, -56205, -56229, -56273, -56343, -56445?\nAnswer: -56585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l. Let s be o(3). Let z(i) be the first derivative of 2*i**2 + 3*i + 1. Does 9 divide z(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 70084?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (2 + 2) - 9) + 4 - (133 - 78).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176 = -23*a + 61 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 18 = -2*k, 0 = -2*t - k - 0 - 5. What is the common denominator of (-2 + 1)*97\/t and 61\/(-12) + 2\/8?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10402*i**2 + 2*i + 10420*i**2 - 20798*i**2.\nAnswer: 24*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*d**4 - 8645653*d**2 + 631*d + 7532?\nAnswer: -48*d**2 - 17291306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/5 less than or equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + b)*(-2 + 2 - 5*b)*(2*b + 3*b + 0*b)*(2 - 4 - 4) to the form g + x*b**3 + d*b + w*b**2 and give x.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 9 - 2*f - 3)*((-3*f**2 + 6*f**2 - f**2)*(3 + 10 - 3) + (-2*f - 4*f + 4*f)*(f - 5*f + 3*f)).\nAnswer: -44*f**3 + 44*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29677\/3330 + 4\/333. Find the common denominator of z and 3*-1*375\/324.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - m - 1. Let y be j(-1). Let v(o) = 127*o**2 + 3*o - 3. What are the prime factors of v(y)?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 151 in 42715, 1, 0.6, -2\/19?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23 and 575.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qdlllqqlqllqddll. What is prob of picking 3 d?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 2*v**5 + 168*v**4 - 3446*v**3 - 286196*v**2 + 6364800*v - 11560000 = 0?\nAnswer: -68, 2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -22*(-1 + (-63)\/(-77)). Let k(h) be the second derivative of 0 + 0*h**3 - 1\/6*h**j + 0*h**2 - h. Let a(g) = 6*g**2. Give a(k(m)).\nAnswer: 24*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 35243850911 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3, 0.08, -1\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 17*v**2 + 19*v - 9. Let s = 15522 - 15506. What is h(s)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -244120 to the nearest ten thousand.\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 9*f + 10. Let u be x(-9). Solve -4*g - g = -u for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 772 and 174.15.\nAnswer: 134443.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27 + 26.62. Let r = c - -0.75. Let i = r + -0.36999981. Round i to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7561556, 7561554, 7561552, 7561550?\n\"Answer: -2*w + 7561558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*q**2 - 4*q**3 - 67 + 67 + 9*q**3 - 5*q to f*q**3 + h*q + t + v*q**2 and give v.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 - (-8 + 3))\/(3\/9). Which is the nearest to 2? (a) 0 (b) s (c) 2\/3 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.28029437 to two decimal places.\nAnswer: 1.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/40310 and -55\/52403?\nAnswer: 524030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(((-3)\/6)\/((-10)\/580))?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2 + 63648*v.\nAnswer: -3*v*(v - 21216)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(12)\/sqrt(6) - (2*sqrt(12))\/sqrt(6).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5262785 and 2509595?\nAnswer: 5665","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.9, 2\/13, -4, 3 in descending order.\nAnswer: 3, 2\/13, -0.9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 162, -5 in decreasing order.\nAnswer: 162, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -3*g + 25 + 91, 0 = -5*s + 5*g + 315. Let u = s + -47. List the prime factors of (-9 + 2)\/((-2)\/u).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10\/11*w**2 + 2\/11*w**4 - 4\/11*w + 0 - 8\/11*w**3 = 0 for w.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 464949?\nAnswer: 3, 19, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (23653\/(-1953))\/((-2)\/18). Solve 111*s - 2 = y*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 12 = -2*k + 4*m, -5*k + 20 = 5*m. Suppose -3*p + 2 + k = 0. Which is the closest to p? (a) -5 (b) 0.1 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -26 or 0.16?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(44)*-4*6)\/(4*sqrt(4)*4).\nAnswer: 9*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/c**(8\/5))\/c)\/(c\/c**6*c)*c\/(c**13\/c)*(c*c\/(c*c**(-11)))\/c assuming c is positive.\nAnswer: c**(17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and 3172?\nAnswer: 25376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v - m + 25, 4*v - 6*m + m = -45 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*y = -4*y + 40 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -213*b. Let c(t) = 23*t**2 - 3. What is c(u(q))?\nAnswer: 1043487*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) 0.3 (c) 0.4 (d) 0.1 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*i**2*s - 12*i**2 + 2*s**3 + s**2 - 2394*s - 11962 with respect to s.\nAnswer: 13*i**2 + 6*s**2 + 2*s - 2394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64 (base 10) to base 11.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26682453209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -5*u + 440, -3*u - 188*j + 264 = -189*j. Suppose -4*s - 433 = -5*h, -3 + 6 = s. Is h greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1337 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w. Let d(z) = -5. Let y(f) = -d(f) + m(f). Suppose 0 = -2*u, -4*u - u = -4*k - 20. Let p be y(k). Solve p*t + 8 = -2*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 500 and 216250400?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 101 - 1334414?\nAnswer: -1334313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12211100033 (base 4) in base 15?\nAnswer: 2413a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 236928?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 138 = -g, d = -2*d - g + 82. Suppose 12 = 3*u - 3*h, 2*h = 5*u + 5*h - d. Solve -j - 3*k - 3 = 0, 3*j + u*k + 3 - 2 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52 + -50. Suppose -5*s = -f*s - 9. What is the second derivative of 3*b**2 - 3*b - s*b**2 - 16*b**2 wrt b?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001144659183 rounded to seven dps?\nAnswer: -0.0001145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o. Let l(d) = 87*d**2 - 61*d**2 + d + d. Calculate l(i(h)).\nAnswer: 104*h**2 - 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 128461649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c + b1?\nAnswer: c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of 5*x**3\/3 - 1. Let r(f) = 61*f + 41*f**2 - 34*f**2 - 25*f**2 - 61*f. Calculate r(b(l)).\nAnswer: -450*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 27\/78 - (-15)\/(1755\/18)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 30617*y**2 + 3*y - 4. Let i(d) = -d + 4. Let r be i(-5). Let c be l(r). Round c to the nearest one hundred thousand.\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1170878822*a**2 + 990333668 wrt a.\nAnswer: 2341757644*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c - 13. Let y(i) = i**2 - 8*i. Let b be y(6). Let m be w(b). What is the closest to 1 in -2, m, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1021201022122221 - -1122?\nAnswer: -1021201022121022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + (-78)\/(-12) + (-2)\/4. What is the first derivative of -47 + 8*r - 21*r - 33*r + q*r wrt r?\nAnswer: -37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t - 11407 + 5679 - 7*t + 5740.\nAnswer: -9*t + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 2, -557, -37\/5 in decreasing order.\nAnswer: 2, -7, -37\/5, -557","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 4:25 PM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54846 is divided by 1519.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 139 - 121. Let t(x) = x**3 - 16*x**2 - 36*x + 2. Let a be t(m). Let j = -8 - -10. Solve -a = -j*l - 0*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -1. Let u = 1 + b. Suppose -15 = -5*p + u. Solve 0 = 3*r - 5*t + 4, 1 = 5*r - p*t - 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 13) in base 14?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-78)\/52 + 60\/(-8)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2*12240164.4\nAnswer: -24480328.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/8040 and -37\/62.\nAnswer: 249240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 2*t**3 - 15*t**3 + 0*t**2 + 0*t**2.\nAnswer: -13*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 19 = 5*o, 3*o - 2*o = 3*m + 1. Suppose 5*x + 414 = -m. Let p = -52 - x. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 4:04 AM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -16*v**5\/3 - 137150*v**4\/3 + 17162*v**3\/3 + 51432*v**2 = 0?\nAnswer: -8572, -1, 0, 9\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (((-70)\/(-15))\/7)\/((-8)\/156). Let l(n) = -n**3 - 12*n**2 + 12*n - 9. What is l(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 192, 5, 154 in decreasing order.\nAnswer: 192, 154, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -413 - -83206?\nAnswer: 82683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3*a + 4*a + 8 + a**3 + 2*a**2 - 9*a**2. Let v(y) = -y**3 - 6*y**2 + 7*y + 7. Let l be v(-7). Is 19 a factor of s(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1740034014 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, d: 6, z: 2, k: 1, y: 7}. What is prob of picking 1 z and 1 d?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 696876 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - -32. Suppose 2*j - 314 = -2*k - 120, -3*j + 303 = -k. Let o = j - f. List the prime factors of o.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 393?\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2 = 3*a, -s - 1 = -0. Let y(j) = -j**2 - j. Let l be y(a). Suppose -2*z + z + 8 = l. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12)\/(-15))\/(26\/65). Let j be (-1 - -2)*(14 + 0). Let z = n + j. What is the remainder when 63 is divided by z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = -4*h - 5*k, 0 = 177*k - 181*k - 48 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3911*l. Let j(f) = -3685*f**2. What is n(j(c))?\nAnswer: -14412035*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25528123 and 1459.\nAnswer: 1459","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s - 6. Let j be h(-10). Let i = 86 + j. What is the units digit of i\/26 - (-2)\/13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 5*g**2. Let i(b) = -264*b - 154. Let h(o) be the first derivative of 17*o**2\/2 + 10*o + 59. Let q(p) = -77*h(p) - 5*i(p). Give r(q(l)).\nAnswer: 605*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/(-4))\/((-2)\/8). Let z = 32 - 19. Let p = z + w. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13824 or -1924?\nAnswer: -13824","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12160340 to the nearest integer?\nAnswer: 3487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-151.\nAnswer: 75.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*i**2 + 26*i**2 + 9 - 11 in the form q + n*i**2 + y*i and give n.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a millennium in years?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h - 1. Let y(v) = 19*v - 17. Let g(b) = -b - 2 - 8*b + 10. Let c(f) = 5*g(f) + 2*y(f). Suppose -26 = -5*w + 4. Determine w*a(i) + c(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3085924563 to the nearest integer?\nAnswer: 55551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - 30*m + 27. Determine s(-32).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 36\/4 + 99\/(-11). Factor 0*r - 2\/3*r**2 + d - 2\/3*r**3.\nAnswer: -2*r**2*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105396287 is divided by 25?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1363 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 87226151?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 3) in base 10?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3*(3 + -1*(-4 + sqrt(8)\/sqrt(4) - sqrt(2))).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 - 37. Let d = u - -6.8. Put 3, d, -3\/4 in decreasing order.\nAnswer: 3, d, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 193\/4 + -49. Let o = -10 - -14. Suppose 0 = o*h + 6 + 6. Which is the nearest to 2? (a) h (b) p (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j + 4. Let d(c) = c + 1. Let i(k) = 3*d(k) + y(k). Calculate the remainder when i(5) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 2:09 AM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 132 - 132 + 10*t. Suppose 46 - 11 = -7*g. Let p(v) = -9*v**2 - 5*v + 5. Let x(s) = -4*s**2 - 2*s + 2. Let w(d) = g*x(d) + 2*p(d). Give w(y(c)).\nAnswer: 200*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 9*x + 166. Let c be k(-16). What is the greatest common factor of 154 and c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2246588 is divided by 4405?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6540961 is divided by 869.\nAnswer: 867","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/55 (b) 40\/9 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -2 + 2 + 13 + -5.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 3 = -2*f - 3, 2*f + 10 = 5*r. Let o(y) = -12*y - 10 - 2*y - y**2 - y**2 + y**r. Is o(-6) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m + m + 2*m)*(-m**2 - 13*m + 13*m) + 18 + 13*m**3 - 18 - 4*m**2 + 4*m**2 - m**3 + (m + 0 + 0)*(-3*m**2 - m**2 + 3*m**2).\nAnswer: 13*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -10*m - 8. Put -2, m, -7 in increasing order.\nAnswer: -7, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**2 - 65*a + 5106 = 0. What is a?\nAnswer: -111, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 0.5, 0.1, -1352?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -5 + -2 + 0 + 2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 - 23*c - 108. Let s be n(-16). Solve -b + s*h + 1 = 0, -15 = -8*b + 12*b + 3*h for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of 0*u**4 - 11*u + 0*u**2 - 11 - 3\/5*u**5 + 0*u**3. Differentiate z(k) wrt k.\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/4 + (1 - 3). Suppose 2*x + 3*n - 8 = 0, -24 = -2*x + 6*x - 4*n. Is x smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6102888?\nAnswer: 2, 3, 11, 23117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -192 divided by -1?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -57, 30, -121 in increasing order.\nAnswer: -121, -57, -17, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*w - 32*w - 100. What is the remainder when 198 is divided by w?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.29 and -5393.\nAnswer: -6956.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ul when two letters picked without replacement from lopollouopuuoloodd?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, b: 7}. Give prob of sequence hhbh.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = 2*z - 3, 6*z - 793*n = -792*n - 15 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 74 = 2*f, f + 117 = 4*h - 134. Suppose -c - 3*p + 68 = 0, -2*p + h = 2*c - 76. What is the greatest common divisor of 923 and c?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 10:07 AM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2112 - 2?\nAnswer: -2114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (7\/168 - 0)\/(-1) and -41\/100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.619 - -0.381. Which is the biggest value? (a) 1 (b) g (c) -17 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 289.13496us to minutes.\nAnswer: 0.000004818916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1689175341?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 371206968*z**2 - 67984457*z wrt z?\nAnswer: 742413936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3460 and 748744.\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + -4 + 1 + (-1)\/(-11). Sort j, 3, 0.3 in descending order.\nAnswer: 3, 0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 40 and -4.\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/2600 and 107\/145400.\nAnswer: 1890200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6504 + 6621. Do 109 and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -2*h + 12*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*d**4 - 819204*d**3 + d**2 - 24*d + 2641.\nAnswer: 72*d - 4915224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2 - 33\/2*k**3 - 5\/6*k**5 + 119\/6*k**2 - 32\/3*k + 37\/6*k**4 = 0. Calculate k.\nAnswer: 2\/5, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 25 = 4*u, -4*u + 79 = 434*k - 383*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 96, 53, 1\/19?\nAnswer: 96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 7 = -53. Suppose -o + 4*o - 25 = -2*j, -r = -o - 2*j. Factor 15*f**3 - 2*f - o*f - 5*f**5 + 10*f**2 + 7*f.\nAnswer: -5*f**2*(f - 2)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-72)\/(-16))*(-12)\/(-16)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 3, 4, 40379 in descending order.\nAnswer: 40379, 4, 3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10457329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-3))\/((-4)\/(-18)). Suppose 5*c = f*s + c - 112, 0 = -s + 4*c + 32. Let n = s + -3. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 3*q = -185, 4*q - 2*q + 30 = b. Calculate the highest common divisor of b and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 3*s - 6, d - 15 - 2 = -4*s. Suppose -5*w + 2*a - 373 = 0, 377 = -d*w - 3*a + 6*a. Let v = -68 - w. Solve n - v + 4 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4604988 by -4.\nAnswer: -1151247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14093 and 10905.\nAnswer: 153684165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -243 + 796. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -5*u**3 - 511*u**2 + 8*u + 8. Let p(l) = -16*l**3 - 1533*l**2 + 26*l + 26. Determine 4*p(m) - 13*t(m).\nAnswer: m**3 + 511*m**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12111 is divided by 2374?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78.5096 nanometers to millimeters.\nAnswer: 0.0000785096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**4\/8 + 33*c**3\/2 - 261*c**2\/8 + 65*c\/4 = 0. Calculate c.\nAnswer: 0, 1, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 22? (a) -4 (b) 0.07 (c) 34 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(55)\/sqrt(5) + 2) - ((sqrt(11) - sqrt(77)\/(sqrt(56)\/sqrt(8))) + sqrt(11))*-6)**2.\nAnswer: 64*sqrt(11) + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 50 + -29. Let u = g + -21. Let i(n) = -n**3 - n + 9. Give i(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-77)\/121*(1020\/(-105))\/17.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(17) - (sqrt(17) + 0))**2 + -4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -1*((1*(1 + sqrt(637)) - (sqrt(637) - (sqrt(637)*-1 + -1))) + 2 + (sqrt(637) + 0 - sqrt(637)) + -3))**2.\nAnswer: 84*sqrt(13) + 673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/27*-9*(-790)\/(-948).\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1841a - -4?\nAnswer: 18421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - j**3 + 1)*(j - j + j)*(-j - 4 + 4).\nAnswer: j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6519145 and 310.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mwwm when four letters picked without replacement from {w: 9, m: 3}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 25587447, 51174923, 76762399, 102349875?\n\"Answer: 25587476*t - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-3*6\/63). Suppose 8*k = n*k + 3*l - 14, -4*k = -2*l + 6. Solve g + k = 5 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -197 + 5*p**4 - 2*p**3 + p + 96 + 101 - 4*p**2 in the form n*p**4 + l*p**2 + m*p + i + s*p**3 and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/(-49))\/((-12)\/(-14))*-6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) + -2)*2 + sqrt(98) - (3*(sqrt(98) + 0))**2.\nAnswer: -886 + 21*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + -19.76032\nAnswer: -19.66032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (49 - (-33366)\/(-670))\/(((-252)\/10)\/3)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 187*i**2 - i - 13. Is y(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -107351\/321 or -335?\nAnswer: -335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**4*w + 46*b**2*w - b*w - 61 wrt b.\nAnswer: -12*b**2*w + 92*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 5*n + 411, 0*n + 5*n - 317 = -3*w. Let b be (-1)\/5 - w\/(-20). Suppose 0*j - 16 = 2*o - 5*j, 5*j = b*o + 10. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 2*c + 3*c)*(-4 + 4 - 1) - c + 3*c - c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41 + 14. Let w be (2 + -4 + 3)*4 - 20. Let p = w - x. Calculate the smallest common multiple of 3 and p.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.32 and 0.4741.\nAnswer: -0.151712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12)\/(-21))\/(6\/21). What is the fourth smallest value in g, -0.4, -0.3, 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-50)\/80)\/((-25)\/12)\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6*2\/4 - 1. Let s be (8\/6)\/(1176\/27342). Solve h*c = -s + 27 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 16) to base 9.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -3*y. Suppose y = -4*x + 10 - 2. Suppose x*l - 2*j - 9 = 3*l, -5*l - j = 9. Is l equal to 1\/28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56726679?\nAnswer: 3, 18908893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -751319 * 361\nAnswer: -271226159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -5*q**2 + 5*q - 6. Let d(b) = -9*b**2 + 10*b - 11. Let f(y) = -6*d(y) + 11*u(y). What is the second derivative of f(l) wrt l?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxkx when four letters picked without replacement from {k: 2, x: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5*a = -2 + 8, -5*f + 2*a + 29 = 0. Suppose 0 = -t + f. Find the second derivative of h + t*h**5 - 10*h**5 + h wrt h.\nAnswer: -60*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 701 and 2?\nAnswer: 1402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -120 - 2?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 54\/(24\/9 + -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.28 minus 411?\nAnswer: -410.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -2\/7, 5, -3\/7, -0.5, -1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1*sqrt(33) - sqrt(33)))\/(sqrt(110)\/(sqrt(40)\/sqrt(4))) + -3 - -4*-1*sqrt(147)*-1*-6.\nAnswer: -162*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/121 (b) 2\/5 (c) 12\/31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -12962\/13 at most as big as -996?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 988\/104 + (-10)\/4. Let d be t - -1239*(-39051)\/27. Round d to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*h**2 - 10*h**2 - 18*h**2 + 75*h**2 - 9*h**2 - 24*h**2.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - l + 9. Let f be x(0). Let o = f - 2. Suppose -5*m + 11 = -4*h, -h = h - m + 1. Calculate the highest common divisor of h and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10022 + 1202000222?\nAnswer: 1201220200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192*w = -182*w + 40 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 4*o - 3 - 17, 0 = -4*f + 5*o - 23. Let h = 13 + f. Suppose 3 = -4*b + h. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 184 + -184.1. What is the nearest to u in -5, 2.1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58583 to the power of 1\/2, to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 - 4*(3 + -34). Suppose -t + 66 + k = 0. Does 31 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 9 + -2 + -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of w - 4*w + 4*w**4 - w**4 + 4*w**4 wrt w.\nAnswer: 84*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 19*y = -17*y - 2, -3*y + 25 = 4*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -34, -44, -60, -82, -110?\n\"Answer: -3*o**2 - o - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 11) to base 13\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirty-seven halves of a day?\nAnswer: 26640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*z - 2*z**2 + 0*z**2 - 2 + 6*z to i*z**2 + u + d*z and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-74) + (-4986470)\/(-370) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2 + 1*(((sqrt(684) - (sqrt(684)*1 + 4))**2 - (3 + -2*sqrt(684))**2) + 4)).\nAnswer: -8181 + 216*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1217693698 to the power of 1\/2, to the nearest integer?\nAnswer: 34895","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 8400.03 meters?\nAnswer: 8400030000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 - 372 = -5*i. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28883*p + i + 113 = 28874*p, p = -5*i + 7 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15\/(-9)*12\/(-2). Suppose 1 = 2*x + 3*s + 2, 4 = -2*x - 4*s. Let i be (5*x\/7)\/((-2)\/(-7)). Is m <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2236365 + -3?\nAnswer: 2236362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (27*o - 1 - 11*o - o**2 - 13*o)*(-4 + 4 - 2) in the form f*o**2 + t + i*o and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - h = 0. Suppose h = 2*a - 6*a + 84. Let u = 38 - 26. What is the remainder when a is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 2792 - 3058 = -16*k for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 1\/5, -10, 1\/2, -2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 43312852175 and -4.\nAnswer: 43312852171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.8 + -2.5. Which is the third biggest value? (a) -1 (b) 5 (c) j (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.4663, 19, -0.14 in increasing order.\nAnswer: -1.4663, -0.14, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53533*1.\nAnswer: 53533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -0.993?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-25 - -53 - 27) + (56 - (-2 - -3))\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 28*x**2 + 27*x + 3. Let d be m(-27). Suppose -493 = -5*r + 3*b, 3*r - d*b - 307 = -4*b. Let z = 103 - r. Solve -z - 2 = f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 5*b**2 - 8*b + 6. Let x be j(6). Let f be (x\/(-9))\/(2\/12). What is the third biggest value in f, -0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-52)\/91 + 32\/112).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4*l + 56. Let w be q(-13). Let o be 12\/w + -3 - -5. Solve -k = -6*k - o for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 2*o + 4*m, o + 5 = 5*m + 3. Suppose 54 = 16*c - o*c. Solve -4*n + n + c = -3*d, -4*d - 16 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/112)\/((-38)\/(798\/9))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208111 is divided by 94?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 59055 (base 10) in base 2?\nAnswer: 1110011010101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10083\/2 + 4868. Let i = n - -1879\/10. Let b = 14 - i. Sort -1\/7, 0.2, b.\nAnswer: b, -1\/7, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10641672*u**4 + 3255904*u**2?\nAnswer: 255400128*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 2)*(-14*m - 19*m - 13*m).\nAnswer: 46*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -133, -472, -1135, -2230, -3865, -6148?\nAnswer: -9187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 534 + -514. What is the smallest common multiple of b and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29161*i + 57999*i - 28216*i.\nAnswer: 622*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -4*z**3 - 10*z**2 - 9*z - 3. List the prime factors of m(-8).\nAnswer: 7, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-154)\/(-2))\/(3\/3). Calculate the greatest common divisor of 11 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-18)\/(-12))\/((-3)\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76 + (86 - (32 + 73)).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 202, 4, 2, -3 in increasing order.\nAnswer: -3, 2, 4, 5, 202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 12:43 PM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -5*q**5\/3 - 68*q**4\/3 - 137*q**3\/3 + 86*q**2\/3 + 212*q\/3 - 88\/3 = 0.\nAnswer: -11, -2, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 37 - (2 + -1 + -1). Suppose -3*r + h = -2. What are the prime factors of r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 + 24. Let u(d) = -4*d + 38. Let v be u(9). Solve v*q + 5*c = -3*q - 25, q = 4*c + t for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 239 + 35. Let u = w - 263. Calculate the least common multiple of -2*3\/6 - -2 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 0 = -5. Suppose z - 23 = s + 8, -2*z + 41 = m*s. Calculate the lowest common multiple of 12 and (12\/(-14))\/((-4)\/z).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 114\/29 or -1\/3?\nAnswer: 114\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (126*b + 3*b + 66*b + 32*b)*(0 + 1 + 0 - 2*b).\nAnswer: -454*b**2 + 227*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29258, 58520, 87786, 117056, 146330?\nAnswer: 175608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -463, -1743, -3843, -6757, -10479, -15003?\nAnswer: -20323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11360*l**3*n + 2*l**2*n**3 + 4*l*n**3 + 127*l*n**2 + 3*l*n + l wrt l?\nAnswer: -68160*l*n + 4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 28 = 3*s, s - 48 = 5*j - s. Let i be -1*(-4 - (j\/(-4))\/(-2)). Suppose -2*q + 3*t - t = 0, 0 = -i*t. Solve o = -q*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -305260 or -305132?\nAnswer: -305132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, h: 1, x: 4}. Give prob of sequence xe.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - 8*u - 5. Let r be o(-7). Suppose -r = -5*p + 48. Calculate the remainder when 38 is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from noyoxdoxlxnxdoox. Give prob of sequence ool.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1555.0667 + 1555. Let h = j + 0.066735. Round h to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 64000 and 400.\nAnswer: 64000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x**5 - 66635*x**4 + 399490*x**3 + 1864970*x**2 - 399495*x - 1798335 = 0.\nAnswer: -3, -1, 1, 9, 13321","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jg when two letters picked without replacement from {j: 4, g: 1, x: 5, u: 8}.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 8 + 13 = -3*r, 4*y + 353 = 5*r + 352 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1021?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17593*u - 17580*u = 169. Solve 3 = -4*f + l, u*f - l = 11*f - 3 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -3. Let h(q) = x - 2*q - 6. Let n(d) = -3*d**2. Calculate h(n(y)).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 219516.78011+-0.02\nAnswer: 219516.76011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.869 and -191.7?\nAnswer: 741.6873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13365 is divided by 1909.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 140 = l - 20, -154 = 3*a - 4*l. Let t be (-1)\/2*-4989*36\/a. Let r = -1126 - t. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 153.56 and 770341186?\nAnswer: 770341032.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/1103?\nAnswer: -1\/1103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*c - 24*c - 8 = 0. List the prime factors of (-22)\/(-5) + c + 4343\/5.\nAnswer: 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.049, 2, -1\/7, 2\/11, 2\/5 in decreasing order.\nAnswer: 2, 2\/5, 2\/11, -0.049, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**4)**(-3\/2)*(u*u**(1\/3)\/u)**18 assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4551 is divided by 1136.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-s**2 + 0*s**2 - s**2)*(0*s + 3*s - 5*s) - 2*s**3 + 5*s**3 - s**3 - 2*s**2)*(1 - 3*s - 1).\nAnswer: -18*s**4 + 6*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 513 - 503. Solve 4*a + 55 = -3*v + 20, -2*v - i = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 5*x**2 + 3*x - 3. Let t be 46*1629\/(-90) + (-6)\/(-10). Let k be (-4)\/(-14) + (t\/(-56))\/4. What is y(k)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 28488\/(-18)*(0 + (-3)\/2). Suppose -15*u + f = -14*u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/7, 2\/353, -3\/10382?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23808\/55 - 8832\/55. Let x = -13137\/22 - q. Find the common denominator of x and 107\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -134.14 + 136. Let h = f + -1.5. Let z = 3.46 - h. What is z rounded to 0 dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 14931*w. Let x(q) = -q. Give x(y(r)).\nAnswer: -14931*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19659315 is divided by 407.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than 168?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/1 - -1)\/((1350\/60)\/9). Which is the biggest value? (a) -384 (b) p (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 246529301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9 + 531\/(-63) + (-199)\/(-7). Let t(q) = -27*q - 1 - f*q + 79*q - 24*q. Let w(j) = 4*j + 3. What is 3*t(u) + w(u)?\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -6*x**2 + 3*x - 21. What is w(-4)?\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 97*g - 239 + 239 - 315*g as h + l*g and give l.\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 4*p**2 + 7 - 11*p**2 - 7. Let t(y) = -6*y. Calculate t(q(f)).\nAnswer: 42*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29696?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + 14*t**2 - t - 35. Calculate f(-14).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 7:10 AM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, -39, 4, -1, -4 in descending order.\nAnswer: 4, -1, -4, -39, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7137 rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.864 - -2.864. What is the fourth smallest value in 2, 0.5, o, 1\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -414, -75, 5, -4 in descending order.\nAnswer: 5, -4, -75, -414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*q = 83 - 17 + 51. Let n be -2 - (1 - 0 - -2). Sort 0, n, q, -1 in decreasing order.\nAnswer: 0, -1, q, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/2 + (-6)\/(-4). Let p = 44 - 24. Suppose 4*c - p = f*c. Calculate the remainder when 19 is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0441 rounded to 3 dps?\nAnswer: -0.044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 47, -4\/3, -2999, 16, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*u**2 - 12*u**2 - 11*u**2.\nAnswer: 7*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -226448*g**3*p**2 - 185*g**3 + 3*g**2*p**2 - 2*g**2*p - 2*g*p - 950279*p wrt g.\nAnswer: -1358688*p**2 - 1110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 748.7686 nanometers?\nAnswer: 0.0000007487686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -0*t + 60. Let w be t\/16 - 1\/(-4). Solve 17 = -u - w*g, 0 = 2*u + 4*g + 14 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11590964.\nAnswer: 2, 7, 11, 37633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -3 - 2*i + 20*i**2 + 14*i + 9 + 3. Let z be a(-5). Suppose z = 6*w - 127. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 39541*u + 39538*u + 5 = 0, -5*z - 35 = -2*u for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, u: 2, w: 2, k: 3}. Give prob of picking 2 u and 2 w.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -70, -7 in descending order.\nAnswer: -0.3, -7, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 52334, 105136, 157938, 210740, 263542?\n\"Answer: 52802*z - 468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 11*h**3 - 13*h**2 - 388. Let l(u) = -5*u**3 + 6*u**2 + 195. Give -6*f(x) - 13*l(x).\nAnswer: -x**3 - 207","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -773\/184 + -27\/23. Let g be 6\/(-24)*16\/2686. Let x = -93992\/12087 + g. Calculate the common denominator of x and a.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*o**2 - 3*o**2 - 8*o**2 - 3*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 2*w - 38, -2*w - 5 + 15 = 0. Suppose 0 = 2*b + 5*n - 15, 5*b - 5*n = -8 - y. Let j = 66 - 69. Put 1, b, j in increasing order.\nAnswer: j, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -12*d**2. Let v(t) be the second derivative of -2*t**7\/315 - 2*t**4\/3 - t**3\/2 + 119*t. Let j(n) be the third derivative of v(n). Determine f(j(g)).\nAnswer: -3072*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 379190 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 4*p + 32, 25 = -p - 4*p. What is the remainder when (-12 - (-12)\/r)*35\/(-4) is divided by 37?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-1070)\/(-335) - 3) + 5.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 357 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-297)\/63 + (-4)\/14. Let q(z) = 3*z + 20. Let n be q(m). Suppose 2*g + 3*d = 8 + 2, 2 = -4*g + n*d. Solve g*p - 10 = -0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 v when four letters picked without replacement from {v: 7, e: 5}.\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -663 - 666 + 1312 - s + s**3 - 11*s**2 + (0*s**2 + s**2 - 3*s**2)*(0*s - 8*s + 2*s) to d + l*s + z*s**2 + j*s**3 and give z.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -20 (b) 655 (c) -2342\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-4))**38 assuming v is positive.\nAnswer: v**(-114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 97515215*b + 166790862 wrt b.\nAnswer: 97515215","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33 - 31. Let r(q) = -128 + 2*q**2 + 130 + 0*q**d - 3*q + q**3. Give r(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -101*j + 16 + 58*j + 44*j. Give p(-16).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 766939984?\nAnswer: 2, 47, 557, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1170 and 4056390?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - i. Let c(g) = 10*g - 18*g + 8*g**3 + 2*g**2 + 2*g**2 + 2*g**4. Let y(w) = 8*b(w) - c(w). Find the third derivative of y(z) wrt z.\nAnswer: -48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -3*d - 2*t, -3*d + 3*t + 21 = 0. Is (-1)\/(-2*d\/1948) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -766, -1038, -1306, -1570, -1830, -2086, -2338?\n\"Answer: 2*m**2 - 278*m - 490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 + 32. Suppose -3*j + f + 0 = 0. Find the second derivative of -a**j + 5*a**3 + 6*a**2 - 6*a**2 - a wrt a.\nAnswer: 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1248*b - 1593*b - 182*b + 832*b + 76685 for b.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/3 + 12880 + 0. Let u = -14039 - 12842. Let w = u + g. Round w to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7, q: 1}. Give prob of picking 1 q and 2 j.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 7*l**2 + 63*l + 15. Let s be i(-5). Let a(x) be the second derivative of 7\/2*x**2 - 10*x - 1\/6*x**3 + s. Determine a(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/((-4)\/285074)*(5 - (10 - 0)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19189848 - 19190776 = -116*n for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/5))**(-2\/49)*((t*t**(1\/2))\/t)**2 assuming t is positive.\nAnswer: t**(249\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 180209058 to the power of 1\/2, to the nearest integer?\nAnswer: 13424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4471570 is divided by 38.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 2\/3651, -0.1, 5 in descending order.\nAnswer: 5, 2\/3651, -0.1, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffrf when four letters picked without replacement from {f: 5, r: 8, v: 1, q: 4}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 776*b - 44 = -778*b, -2*g + 5*b - 5 = 0 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 e when two letters picked without replacement from {e: 8, c: 3, n: 3, p: 2, q: 1, s: 1}?\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 20965556 to the power of 1\/5, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and -130387688140.103.\nAnswer: -130387688140.503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3387732.94499898 - 3387733. Let z = 0.055 + x. Round z to seven decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*v - 578 - 13 = 121 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 - k + 1. Suppose 2*h + 10 = -0*h. Let t(f) = -3*f**3 - 7*f**2 - 5*f + 5. Determine h*c(b) + t(b).\nAnswer: -3*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 12050.92 and 259.\nAnswer: 12309.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwwb when four letters picked without replacement from {w: 9, o: 1, t: 1, b: 2}?\nAnswer: 42\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -19139\nAnswer: -19135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 8. Let j(g) = -14*g + 6. Let t be j(-6). What is the units digit of t\/21 + q\/(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -748525 and 149.69.\nAnswer: -748375.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*t + 50*t - 114*t.\nAnswer: -12*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2498287403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/6*3\/((-9)\/(-30))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.14 (b) 5 (c) 63\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13885 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11030 - 3242?\nAnswer: -14322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -118 - -118. Calculate the lowest common multiple of (2\/4 + -1)*(-24 - f) and 11.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 275768 * 1\nAnswer: 275768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - 4. Suppose 2*x = -x + a. Suppose -18 = -4*l + x*f, -l + 8 = -0*l + f. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -11629, -23079, -34529, -45979?\n\"Answer: -11450*q - 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2229, -4, 7 in ascending order.\nAnswer: -2229, -4, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 766 divide 4496420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*a - 0. Let h = -301 + 476. Suppose o + y - 55 = 0, 3*o = -7*y + a*y + h. Calculate the remainder when o is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/11)*g**(-4\/11))\/(((g**(-1\/6)*g*g)\/g)\/(g*g*g**(3\/2))) assuming g is positive.\nAnswer: g**(82\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 1 + 2*x**2 - 7*x**2 - 1 + 10*x - 5 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32357780 divided by 460\nAnswer: -70343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 113 - 55. Suppose 0 = 2*c + 5*d - x, 6*c = 2*c + 4*d + 60. Suppose -f + c = -5*k + k, -k = -5*f + 38. Calculate the remainder when 13 is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2550747841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in 2\/5, 0.3, -1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 5:16 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -126 + 146. What are the prime factors of ((-30)\/u)\/((-3)\/1402)?\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 293 is divided by 75.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 2*i + 17 = u, 4*u + i = 47. Calculate the least common multiple of u and (6\/(-4))\/(1\/(-8)).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3*a = -16. Let d = a + 10. Find the second derivative of -12*z**d - 14*z - 11*z**2 + 23*z**2 - 5*z**3 wrt z.\nAnswer: -30*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-34)\/51*3*(2 - 1). Let a = q - -7. Find the second derivative of -13*t**2 - a*t**2 - t**2 - 14*t - t**2 wrt t.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -1) + 0 - (-9 + 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 + 8. Which is bigger: -2 or j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 - 18*z + 8. Let u be i(-8). Suppose 8*h - h + 525 = 0. Let x = h + u. Calculate the greatest common divisor of x and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 339 + (4 - (4 - 1)). What is the greatest common divisor of g and 136?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144 + -15 + (-3 - 1) + 10 + (12 - 1).\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -8*m + 120950. What is the thousands digit of m\/123*(-54)\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (12 - 22) - (-5 - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -608936 + 16658911. Suppose 2*g + 4*w = g + 3209980, 5*w = -5*g + a. What is g rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7, y: 2}. Give prob of sequence hhyy.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -75 + 82 + 2 + 2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17? (a) -3\/160 (b) -4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6533226490*r - 15*r**2 - 6533226490*r.\nAnswer: -15*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3263*v*x + 6*v + 4*x + 6488 wrt v.\nAnswer: -3263*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 2 - 4. Let l(r) = r - 3. Let y be l(-4). Let f = d - y. Solve -f = 2*n + 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -5*h + 10 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 5786 and 52082\/9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57536, -230173, -517902, -920723, -1438636, -2071641, -2819738?\nAnswer: -3682927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 161 divide 69505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 1 + 4 + 0 + 4 + 25*g. Let f be w(-6). What is f rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 t, and 1 x when three letters picked without replacement from mxmxtxxhmxxxhhmxxmm?\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 1 + 1)*(0 + 0 - 1)*(6*v**2 + 17*v**2 - 5*v**2)*((-3 - 2 + 7)*(-v + 0*v - v) - 2 + 2 + 2*v) to the form k*v + i*v**3 + t + u*v**2 and give i.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*q + 185 = 1501 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1))**(2\/77))**(-25) assuming p is positive.\nAnswer: p**(50\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 5*m = -13 - 11, 2*h + 4*m = 24 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u*u**21\/u)\/u)*u*u**(4\/17))**(-25) assuming u is positive.\nAnswer: u**(7550\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/3)\/((-530)\/66 - -8). Let g(f) = 3*f - 61 - 73 + 133 - 2*f. Let o(q) = 5*q - 6. Calculate d*g(v) + 2*o(v).\nAnswer: -v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 53 - 319\/6. Let g = -36.1 + 63.2. Let j = 26.7 - g. Put j, -3, 5, k in descending order.\nAnswer: 5, k, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 15903010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 338978?\nAnswer: 2, 169489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -21 and -219.\nAnswer: 4599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of 29*q + 0*q**2 - 1\/90*q**6 - 2\/9*q**3 + 1\/15*q**5 - 4 + 1\/36*q**4. Let k(h) be the first derivative of s(h). Factor k(n).\nAnswer: -n*(n - 4)*(n - 1)*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 11*v - 39. Let s be y(-14). Let j be 15*(0 - s)\/(-3) + -3. Is j smaller than 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0, 0.67, 17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a week in minutes?\nAnswer: 2016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 2. Suppose 4*a - 54 = -5*n, 2*n - 48 = -u*n + 5*a. Suppose -14 = 2*z - 4*z. What is the highest common divisor of n and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 0.1, 1\/250 in decreasing order.\nAnswer: 24, 0.1, 1\/250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fifty-five quarters of a millimeter?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-6)*q*q*q**(-7\/3)*(q*q**(-15))\/q**4)**28 assuming q is positive.\nAnswer: q**(-2044\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2\/7 of a week?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -437 + 440. Let t = -6 - -8. Let r be (-5)\/6*-4*(-33)\/(-22). Solve r*x + t = -z + 1, q*x = -z + 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 8, w: 5, u: 5, p: 1, o: 1}. Give prob of picking 1 w and 1 o.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f**2 + 172*f + 1160. Give j(-46).\nAnswer: -404","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4845 and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 1449, 0, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3\/(15\/41875) - (-7 + (7 - 1))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 68 = 0, 4*r + 468*t + 26 + 45 + 31 = 471*t for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3238775 is divided by 39.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -43*t**2. Let z be (-495)\/(-5 + 2) + -4. Let o = z - -515. Let s(b) = -o - b**2 + 676 + 2*b**2. Determine s(m(p)).\nAnswer: 1849*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2220 + 1541. Find the common denominator of (3\/42)\/((-6)\/k) and (-1)\/((-32)\/146*-1).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**3 - 143544*k**2 + 574150*k - 430608 = 0. Calculate k.\nAnswer: 1, 3, 71768","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 4*g + 6 = -14, 15 = -4*u - 3*g. Let f = 585\/4 + -145. What is the third smallest value in u, f, 0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33917049 divided by -33951.\nAnswer: 999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3, 14, 25, 36, 47?\n\"Answer: 11*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -1.2 (b) -0.04 (c) -1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2043557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5519.247 meters in millimeters?\nAnswer: 5519247","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51614 and 1703?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*y = 79 - 13 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**2 - 15*j - 13. Let i be w(8). Let r be (-5 + 0)*(-3)\/i. Let c = r + 28. Is 10 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5*-3*sqrt(19).\nAnswer: 3 + 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0)**43*k**(-2\/35)\/(k\/(k*k*k**11)) assuming k is positive.\nAnswer: k**(418\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 300 is divided by 43?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36 - -36. Suppose f = z + 3 - 8. Let y(r) = 2*r - 6. What is y(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -17*f - 3. Let a be l(-6). Suppose 0 = -5*o + 2*z + 3*z + 130, -4*o + a = z. Solve 0 = 7*c - 2*c + o for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57048*n + 56889*n - 3021 = 0 for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -5. Suppose t - 31 = -i*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 134*s - 60. Let i be h(30). Suppose -3*m = 9*m - i. Is m a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence srms when four letters picked without replacement from {m: 1, z: 1, r: 1, v: 2, s: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 265 - 449. Let r be x\/260 - 2\/(-5). Suppose -2*m + 6 = 8. Do r and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/8 + 394401*i\/8 + 34381037\/2.\nAnswer: (i + 349)*(i + 394052)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*q - 3*q. Suppose 34 - 42 = q*d. What is the third biggest value in d, -0.1, 1\/21?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1068106 and 806.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Is 38141 at most as big as 38141?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 15) to base 3\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -70*f. Let t(s) be the second derivative of s**5\/120 + s**3\/3 + s**2 + s + 39. Let g(p) be the second derivative of t(p). Give g(l(d)).\nAnswer: -70*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4455089 is divided by 67.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*k**2 - 5 - 30*k + 15 - 10 + 29*k.\nAnswer: -6*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.9999682 + 7. Round s to 6 dps.\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -34975, 4 in ascending order.\nAnswer: -34975, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -2947799?\nAnswer: 2\/2947799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -4812.63411 to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -12. Suppose d + 15 = -3*b, -3*d - 2 = b + 3. Let y be (1 + (-10)\/(-6))\/(b\/15). Is y smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a**2 - 3. Let i be b(-3). Let g = -12 + i. Suppose -g*s + 3 = -15. Let x(d) = d**2 - 7*d + 7. Calculate x(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1)\/f*f)**(-1) assuming f is positive.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 42.5. What is l rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 1\/6 (b) 4 (c) -5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-9))\/(((-80)\/(-192))\/((-1020)\/(-48)))?\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 350 + -348. Find the third derivative of -142*s**3 + 32*s**2 + 33*s**r - 109*s**2 wrt s.\nAnswer: -852","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -3*v + 28 - 59, 4*v - 6*v = -4*j + 54 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 6*s = 3*o + 3950, 5*o + 3940 = 5*s. Is s a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-1)\/(-3) - (-52)\/6 and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-14)\/(-2))\/((-170)\/(-17) + -3). Put -4, 2\/11, m, -34\/9 in increasing order.\nAnswer: -4, -34\/9, 2\/11, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**4 - b**3 + b**2 - 1. Let q(u) = -5*u**5 + 10*u**4 - 30*u**2 + 15*u + 10. Let s(t) = -10*p(t) - q(t). Solve s(c) = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 10:17 PM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -47*n**2. Let z(w) be the first derivative of 13*w**2 - 113. Calculate p(z(v)).\nAnswer: -31772*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + -93080755.03\nAnswer: -93080755.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/21 - 1437\/(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 43341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2257 = -3*h - 28. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -58*g**4\/3 + 89*g**3\/2 - 219*g. What is the second derivative of j(p) wrt p?\nAnswer: -464","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 33 = -4*u, 7 = -6*i + 3*i + 4*u for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 150972.093 microseconds?\nAnswer: 0.0000017473621875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7905 divided by -26.\nAnswer: -7905\/26","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -0.797.\nAnswer: 3.188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 17*f**2. Let s(y) = -2*y**2 + 4*y**2 - 3*y**2 - y**2. Give g(s(c)).\nAnswer: 68*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 107122 = -5*p, 9 + 19 = 4*m. Does 29 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(-16)\/3)\/(87*(-424)\/(-27666)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.078 - 0.07800056. Round d to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0.37, 1\/4, -0.0272, -23?\nAnswer: -0.0272","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10173 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -28188, -113084, -254564, -452628, -707276, -1018508, -1386324?\n\"Answer: -28292*u**2 - 20*u + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -915.646953 rounded to the nearest 10?\nAnswer: -920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 7:37 PM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*c + 51*c = 106*c + 390 for c.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1028*z - 28 = -0*i - 3*i - 1018*z, -4*z = -2*i + 8 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 6)*(2*f - 6*f + 105*f)*(-f + f - 2*f).\nAnswer: -404*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -70*s**4 + 7*s**2 + 7*s - 19. Let p(o) = 35*o**4 - 4*o**2 - 4*o + 10. Let z(a) = 7*p(a) + 4*y(a). Differentiate z(t) with respect to t.\nAnswer: -140*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o - 6 + 6 + (1 - 4 + 2)*(2 - 2 - 2*o) + (-4*o + 2*o - o)*(-4 - 2 + 5))*(18 - 6 + 9).\nAnswer: 210*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -46*b - 8. Let v(d) = -47*d - 7. Let m(y) = 6*v(y) - 5*x(y). Let w be m(-16). Round w to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 4 = -3*d + 3*x, 0 = 4*x. Put -4, -2, d in decreasing order.\nAnswer: -2, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, z: 9}. Give prob of sequence mmmz.\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*(-3 + -1 + 3). What is the smallest common multiple of ((-22)\/(-4))\/((-2)\/(-4)) and 240\/42 + c\/(-7)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4*k**2 - 37*k + 9. Let a(x) = -x**2 + 12*x - 3. Let s(p) = -7*a(p) - 2*v(p). Let t be s(-8). Suppose 3 + t = i. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40741 greater than or equal to 41813?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*r + 62*r = 9865. Let f = -1054 - r. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*r**3*z + 4*r**2*z + 4*r*z - 1238*z wrt r?\nAnswer: -12*r**2*z + 8*r*z + 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -7. Let f be (0 + -1)\/(c - 2). Let m(h) = -5*h**2 + h + 3*h**2 + 0*h**2. Give m(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -4*f**3 - f**2 - 2*f - 5. Let v(y) = -2*y**3 - y - 2. Let m = 26 - 24. Calculate m*i(n) - 5*v(n).\nAnswer: 2*n**3 - 2*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 5*n = -160, 9*x - 2*n = 5*x - 204. Do x and -50 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*(a*a\/(a\/a**(2\/5)))\/a))**(3\/17)*(((a\/a**5)\/a)\/a*a)\/((a**(-2\/5)*a)\/a) assuming a is positive.\nAnswer: a**(-397\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of -q**3 + q**2\/2 - 16*q. Determine v(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 8:23 PM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millisecond in microseconds?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25675?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 + 190*w - 2466. What is q(178)?\nAnswer: -330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235101 is divided by 47014.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6336\/288*(-14)\/(-28).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 + 6*d + 4. Let h be (-2)\/(-11) + (-432)\/(-44). Let y(m) = 23*m + 1 + 3*m**2 - 6*m + h. Give -11*t(k) + 4*y(k).\nAnswer: k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 50*u - 11. Let l be (-23)\/(-23)*1*2. Calculate the remainder when o(l) is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a. Let c(l) be the third derivative of 0*l**3 + 1\/24*l**4 + 0*l + 0 - 4*l**2. Give c(m(p)).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 5:30 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29025\/98908 - -23\/3756. Calculate the common denominator of -58\/395 and i.\nAnswer: 1185","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/225 and 193\/5571720.\nAnswer: 27858600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 + 22. Let z be (g - 4 - -11)*1\/3. Let n(x) = -x**3 - x**2 + x + 1. Let o(h) = 3*h**3 - 2*h - 2. What is z*n(w) + o(w)?\nAnswer: w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -90*w - 4. Let h be y(5). Let t = h + 5437\/12. Calculate the common denominator of 51\/20 and t.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/32 and -125\/24?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/9)\/(103*(-372)\/(-1896642)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3801157 to the nearest integer?\nAnswer: 1950","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -490 in 2\/17, -0.5, 196, 2\/9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7272*j + 7228*j + 440 = 0. Solve -8*r + 12*r + d + 14 = 0, 3*d - j = r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79011260.\nAnswer: 2, 5, 3950563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/13, -255.52, -25, -3, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d - 6*d**2 - 2*d**2 + 0*d. Let l(u) = -u**2 - u + 1. Let i(f) = 7*f + 12. Let k(o) = i(o) - l(o). Let h be k(-6). What is z(h)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -2290956.\nAnswer: -1\/1145478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 34861*r - 174256. Give f(5).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 73798 to the power of 1\/2, to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of -k**8\/48 + k**5\/30 + 3*k**2. Find the third derivative of m(h) wrt h.\nAnswer: -420*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 6:22 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7435667207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 524 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 10*m + 5. Let q be o(-9). Let b be 2 + (q\/(-4))\/4. Which is greater: b or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nkn when three letters picked without replacement from ikvkinnikvnivikini.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -614, -1298, -1990, -2696, -3422?\nAnswer: -4174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3904 - 3904. Let x = 6 + -5.7. Put x, -5, p, -3\/7 in decreasing order.\nAnswer: x, p, -3\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -0*f + o + 53, 41 = f - 5*o. Does 14 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-96)\/14*(-2051)\/(-879).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (306*c + 645*c - 285*c)*(1 - 1 + 2*c**2) + (-7 - c + 7)*(-4*c - 2*c**2 + 4*c).\nAnswer: 1334*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 - 3*z**2 - 2*z**2)*(63*z - 125*z + 1 + 67*z).\nAnswer: -35*z**3 - 7*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30432 = 158*u - 150*u. Is 6 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29568 or 29566?\nAnswer: 29566","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + 26*a**2 - 27*a + 9. What is the remainder when 2157 is divided by w(-27)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**5 - 2 + 2 + (f**2 - f**2 - 3*f**2)*(2*f**3 + f**3 + 0*f**3) - 13*f**5 - 6*f**5 + 5*f**5.\nAnswer: -22*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12863\/9 - -1431. Which is the nearest to -2? (a) i (b) -3 (c) 7 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -3, 2\/43?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hjhjjjjjjjjjj. Give prob of picking 1 j and 1 h.\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 254 divided by 254\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28 - 25. Let y = 3 - c. Solve -7*l + 2*l + 17 = 2*a, y = 3*l + 2*a - 11 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10948 times 32.4?\nAnswer: -354715.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -308, -317, -330, -347, -368?\n\"Answer: -2*h**2 - 3*h - 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bp when two letters picked without replacement from {z: 6, p: 1, y: 2, e: 3, b: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 2)\/(90\/12 + -3)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 4890186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 12. Suppose 3*a - 105 = -3*i, 3*i + i - a = 120. Let v = i - y. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - n - 5 = -56, 60 = 3*v + 4*n. Which is greater: v or 15?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 179*l**2 + 360*l + 41. What are the prime factors of z(-18)?\nAnswer: 11, 43, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 323)*209050\/710770?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3889 or 365?\nAnswer: 3889","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -5*m**3\/3 + 10*m**2 - 15*m + 44. Solve k(n) = 0 for n.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 7*g - 16. Let i be g\/(-16) - 846\/(-8). Suppose i = 4*m + 10. Calculate the highest common factor of 8 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - 2*d**2 - 14*d - 25. Calculate y(8).\nAnswer: 247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 201075*x**5 - 64*x**4 + 5*x**2 + 19681568*x.\nAnswer: 4021500*x**3 - 768*x**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 114539, 114572, 114627, 114704, 114803, 114924, 115067?\nAnswer: 115232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -874682*u**3 - 257842*u**2 - 1.\nAnswer: -5248092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + l = 72. Calculate the least common multiple of 6 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12.98 - 12.88. Sort -1\/9, p, -4 in descending order.\nAnswer: p, -1\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2032.6953 to the nearest one hundred.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5352 + 0.4\nAnswer: 5352.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z, 2*s + 5*z + 1236 = 6*s. Differentiate 5 - 303*g**2 + 2*g + s*g**2 - 2*g with respect to g.\nAnswer: 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 30 = 3*c. Let d = 22 - c. Let h = d + -4. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, e: 2, l: 2}. Give prob of sequence llc.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.431+0.141624\nAnswer: -0.289376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1\/7 + (-5474)\/(-98)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 704276.3 to the nearest ten thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12 + 3*q**3 - 3*q**3 + 22 + 10*q**4 wrt q?\nAnswer: 40*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 713*h**4 - 17 wrt h.\nAnswer: 2852*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(12)\/(-1*sqrt(4)) + (sqrt(432)\/sqrt(4) - sqrt(3))**2.\nAnswer: -sqrt(3) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -20 + 25 + (-20774)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 7*s = -32, 3094*j + 4 = 3089*j + 4*s for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f**3 + 1698297 + 15077*f**4 + 7*f**2 - 1698296 - 5*f**2)*(2 + 1 - 1) in the form d*f + z*f**2 + l + k*f**4 + g*f**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of m**4\/8 - 2*m**2. Suppose -66*w - 186 = -35*w. Let q(x) = 4*x. Calculate w*u(y) + 5*q(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3415623?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccxxxrrxvrx. What is prob of sequence xv?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 11 - 3. What is the third derivative of 4*g**2 - 4*g**2 + 16*g**4 + 3*g**o wrt g?\nAnswer: 384*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 PM and 3:07 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 - ((-12 - -33) + -12 + 40)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (130\/8*60\/450)\/((-14)\/(-84)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 468721 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12 or -53\/4?\nAnswer: -53\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3*q + 24. Let v be o(9). Let s(u) = -u - 4. Determine s(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.209 - 4.409. Put g, 0.0085, -0.1 in decreasing order.\nAnswer: g, 0.0085, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101100221000 + 1120?\nAnswer: -101100212110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 176532 (c) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = 13*p - 56 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -8.7 (c) 3\/7 (d) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-9)*1134\/3780.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -9*t - 242. Determine x(-27).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, p: 1, b: 7}. Give prob of picking 1 b and 1 c.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -506\/9*g**2 - 8\/9*g**4 - 18 - 68*g + 136\/9*g**3.\nAnswer: -2*(g - 9)**2*(2*g + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w. Let x(t) be the third derivative of -17*t**4\/24 + 4*t**2. Calculate v(x(z)).\nAnswer: -34*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 563 < 563?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -3*q + 9. Let c(i) = 17 - i**3 + i**2 - i**2 - 6*i**2 - 15. Let f be c(-6). Suppose -3*r + 19 = -f. Let l(n) = 4*n - 13. Calculate r*t(m) + 5*l(m).\nAnswer: -m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -13823421532 and 2727?\nAnswer: 13823424259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55758 divided by 5.\nAnswer: 55758\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (56\/(-140))\/(26\/(-117)*(-9)\/3)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -10.39, 12, 5?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23.154 + 0.154. What is the fourth biggest value in 0.03, g, 1\/2, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110101100 (base 2) to base 12\nAnswer: -2b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (28\/49)\/(1974\/(-147) + 0)\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 18\/(-8) + 3\/12. Which is greater: u or -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 2*o - 1676. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 822 is divided by 97.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43\/39 + -10\/13. Sort -0.3, -5, j.\nAnswer: -5, -0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37590, 75173, 112754, 150333?\nAnswer: 187910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/7, 668\/115, 0?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -466\/5*o**3 + 232\/5*o**2 + 236\/5*o**4 - 2\/5*o**5 + 0*o + 0.\nAnswer: -2*o**2*(o - 116)*(o - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -3309*c - 1164777. Give d(-352).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 539383880.\nAnswer: 2, 5, 7, 31, 62141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of x**6\/120 - x**5\/60 - x**3\/2 + x**2. Calculate the remainder when (-4)\/20 - ((-1746)\/10)\/3 is divided by q(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 - 19*n**2 + 50*n - 5. Let j be c(-21). Let t = j + 169. Let f(u) = 2*u**2 + u + 5*u + 5 + u. What is f(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - -13. Let d = -34 - -53. What is the highest common factor of d and q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1548?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 8, -72, -17, 5 in increasing order.\nAnswer: -72, -17, -4, 1, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k**2 + 15*k - 2. Determine v(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of g**5\/20 - 7*g**4\/12 + g**3 - 2*g**2 + 430*g. What is z(7)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 184250, 368742, 553234?\n\"Answer: 184492*z - 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 2*z - z)*(2*z + 1849*z**3 + 3*z - 1821*z**3).\nAnswer: -28*z**4 - 5*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 5*n = -25, -6*n = 2*y - n - 65. Suppose 38*d - 24*d = 112. What is the lowest common multiple of y and d?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2435 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -2*q + 3, -14 = -2*o + 2*q - 6*q for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.206 less than -0.33?\nAnswer: -0.124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - v = 765. Let r be 81\/v - 2\/10. Suppose -2022 = -9*q - 1986. Sort q, 0.3, r in descending order.\nAnswer: q, 0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -732, -1465, -2198, -2931, -3664, -4397?\nAnswer: -5130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -p**3\/3 + 711*p**2 + 2905633*p\/3 - 969255 = 0.\nAnswer: -945, 1, 3077","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, k: 8}. Give prob of sequence kk.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s**2 - 31*s + 57*s - 26*s.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -71215\/13 - -5482. Find the common denominator of -16\/9 and z.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.74183 to one dp.\nAnswer: -4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -354 + 593. Let m = -139 + w. Let d = 156 - m. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 69.9, 5, -3.8, -5 in descending order.\nAnswer: 69.9, 5, -3.8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*k + 17. Let a be 6\/15 - 3036\/k. Suppose 0 = -4*w - 52 + 204. Calculate the greatest common divisor of a and w.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6309 + -44164\/7. Which is the closest to -1? (a) 0.273 (b) 4 (c) y (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((3*sqrt(170))\/sqrt(10))**2.\nAnswer: 459","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 150677, 301447, 452217, 602987?\n\"Answer: 150770*y - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, u: 3, r: 2}. Give prob of picking 1 r and 3 a.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7866323 to the power of 1\/2, to the nearest integer?\nAnswer: 2805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1158 - -1178. Let a(q) be the second derivative of 0*q**4 - 13\/30*q**6 + 0 + 0*q**5 + x*q + 3\/2*q**2 + 0*q**3. Find the first derivative of a(b) wrt b.\nAnswer: -52*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 123, 272, 491, 780, 1139, 1568, 2067?\n\"Answer: 35*i**2 + 44*i + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-9)\/2)\/((14 - 19)\/10). Solve 428*y = 425*y - m for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -s - 57. Let c = s - -15. Does 10 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 950024.\nAnswer: 1\/950024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**1)\/m**9*m**(-5\/4)*m*m**(-5)\/m*m assuming m is positive.\nAnswer: m**(-49\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0127494926 and -3.\nAnswer: -3.0127494926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16.30721382081 + -16106841.30583382081. Let a = d - -16106696. Let b = a + 129. Round b to four decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**4*w)**(-47))**34\/(((w\/((w\/w**(-2))\/w))\/w*w)\/(w\/w**(-9))*(w\/(w\/w**8))\/(w\/(w*(w\/(w*w*w**7*w))\/w)*w)) assuming w is positive.\nAnswer: w**(-9574)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ruuu. Give prob of picking 2 u and 1 r.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -3292017690 to the nearest one million.\nAnswer: -3292000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 228 + (76 - 142) + -50.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22*k*n**3*o**3*z - k*n**3 + k*o**2 + 3*n**3*o**3 - n**2*o**3*z + 116*n**2*o**3 - n**2*o**2*z wrt n?\nAnswer: 132*k*o**3*z - 6*k + 18*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 2*d + 1548, -5*w + 1265*d = 1266*d - 1544. Calculate the highest common factor of 242 and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - k**2 - k - 1. Let n = 10 + -16. Let v = 5 + n. Calculate r(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 3*q + 90 + 97, -4*b = 2*q - 182. Calculate the remainder when b is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -3*g + 4, -3*g - c + 4 = -2*g. Let z be (15\/(-6))\/((-10)\/48). What is the highest common divisor of g and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 + 125269.49.\nAnswer: 125269.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m - 3. Let n be b(8). Let p be (-13 - -12)\/((-1)\/5). Calculate the greatest common divisor of n and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/4*(-2 + 0). Let b(h) = -h - z*h + 8*h. Let o(t) be the third derivative of -t**5\/20 - 62*t**2. What is b(o(w))?\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - k**2. Let h(p) = -10*p**3 - 3*p**2 + 4*p. Determine h(t) - 5*y(t).\nAnswer: -15*t**3 + 2*t**2 + 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1956714.\nAnswer: 2, 3, 326119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 115\/128079 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 8198.89 micrometers?\nAnswer: 0.00000819889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1259\/513 + 62\/27. Let t be (-2 + 1)\/(((-15048)\/(-1958))\/18). Let r = o + t. Which is the biggest value? (a) -4 (b) r (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/240)\/(9\/12)*40\/(-15).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*h - 38434 = -171*h - 249*h + 29584 for h.\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 5*n. Let x(t) = -2 + 1 + t**2 + 7*t + 3. Let u be x(-7). Solve n*i = u*i + 8 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 57374 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*w - 8*w**2 + 1 - 1 + 2*w**2 wrt w?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 300359 or 300389?\nAnswer: 300359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 595.4 (b) -2\/23 (c) 0 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - 2*h**2 + h - 2. Let z = 6 - 4. Let y be a(z). Let g = y - 0. Solve 4*i - 10 - 6 = g for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*t = 108, -3*t = 2*i - 180 - 64. What is the remainder when i is divided by (1953\/(-147))\/((-12)\/56)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from inznsizsbsmi. Give prob of sequence izz.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -71 + 71 - 10*x**5 + (-3*x + 2*x + 3*x)*(x**4 + x**4 - x**4) + 4*x**5 - 7*x**5 - 3*x**5.\nAnswer: -14*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1635, -2769, -3903, -5037, -6171, -7305?\nAnswer: -8439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**5 - 596*x**4 + 2942*x**3 - 3508*x**2 - 2360*x + 4688 = 0. What is x?\nAnswer: -1, 2, 293","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*(-3)\/(-108)*-1. Let u = 602 - 605. Put r, -2, u in decreasing order.\nAnswer: r, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - 3462188.\nAnswer: -3462187.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i = -46 + 18. Suppose 2*q - x - 824 = 0, 3*q - 412 = i*q - 3*x. Round q to the nearest ten.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11648796 or 11648761?\nAnswer: 11648761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - 3 - (-3 + 1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21650\/3 < 7217?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/20)\/((-1)\/27*-3). Let q = -18 - -18. Is v > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2273 + 1299 = 254*h + 4360 for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 740\/63 greater than 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -480 by 160.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -8*-0.079802\nAnswer: 0.638416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 12 - 24, -5*k = 3*i - 11. Suppose -k*l - 122 = 2*s, -10*l + 3*s - 105 = -7*l. Which is the biggest value? (a) 4 (b) -3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 6:01 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 209 divide 243628792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -6*t**5\/11 - 42*t**4\/11 + 48*t**3\/11 = 0.\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-16)\/(-40))\/((-1)\/(-10)). Suppose -2*w + 2 = r. Which is bigger: -2\/23 or w?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3817, 3818, 3819, 3820, 3821?\nAnswer: 3822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -37 in increasing order.\nAnswer: -37, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4609 - -1a?\nAnswer: -459a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 19.3535958678337?\nAnswer: 24.3535958678337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 486284.3ug in milligrams?\nAnswer: 486.2843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 - 33*b - 162. Let l be y(-26). Solve -l = 3*d - 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(325))*-2*3.\nAnswer: -30*sqrt(13) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27 by 6.\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23601 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.433 - -1.333. Let j be ((-8)\/(-6))\/(4\/6). Which is the closest to -2? (a) h (b) 5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -4, -5, -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -241266 take away 0.5231801?\nAnswer: -241266.5231801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h + 2. Calculate the lowest common multiple of q(0) and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/195 and -46\/614451.\nAnswer: 39939315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, t: 1, b: 2, v: 3, n: 2, k: 4}. What is prob of picking 2 r and 1 b?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3 - 23*l**2\/2 + 27*l\/2 + 90.\nAnswer: -(l - 3)*(l + 12)*(2*l + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1057040 and 133847690?\nAnswer: 1070781520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2532?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 10:17 PM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 648158499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 31138334 to the power of 1\/2, to the nearest integer?\nAnswer: 5580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of y**5\/60 + y**3\/6 + 14*y**2 + 2. Let u be i(0). Put -2, u, -21 in increasing order.\nAnswer: -21, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42 + 42. Let p = 57 - m. Calculate the remainder when p is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2*w = -4*v + 13, 2*w + 10 = 0. Let x = 1.11 - -27.89. Which is the closest to v? (a) -2\/3 (b) 0.1 (c) 2\/5 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27 + 51. Let t be ((-5)\/20*2)\/((-2)\/28). Let s(h) = h**2 + 2*h - 27. Let i be s(t). Calculate the greatest common factor of c and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 912*q + 393. What is the units digit of h(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 10523, 21086, 31691, 42338?\n\"Answer: 21*j**2 + 10500*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/(-5))\/((-27)\/990). Calculate the greatest common divisor of m and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 1, 9*l - 4*l + 2*s - 1132 = 0. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 66 = 4*y, -5*l = 2*y - 7*y + 70. What is the greatest common factor of 48 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - 4*m**2 + 10*m + 27. Let g be w(-5). Let q(v) = 179*v**2 - 362*v**2 + 361*v**g. Let r(k) = k**2. Determine q(r(s)).\nAnswer: 178*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/5*g**2 + 1\/5*g**3 - 1\/5*g + 3\/5.\nAnswer: (g - 3)*(g - 1)*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16.971 - 0.171. Let l = n - 23. Round l to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b227a (base 12) to base 13\nAnswer: 81751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 6 = 0, 53*q = -2*p + 48*q + 13 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 - 9*j - 5. Let v be l(-8). Suppose v*g - 15 = -2*g. Suppose -g*u - 39 = 2*c - 139, -u + 20 = -2*c. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 0. Let d = 96 - 93. Solve 0 = -d*p + 11 - x for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(1\/16)*z**(-21)*z*z*z**4*z**(1\/2)*z assuming z is positive.\nAnswer: z**(-215\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62160, -124331, -186514, -248709, -310916?\nAnswer: -373135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9549*j**2 - 9551*j**2 + 19099*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/54)\/((9\/36)\/(-1)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/104 and 79\/28?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 65106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14877 - 7131. List the prime factors of w.\nAnswer: 2, 3, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*q + 3*q + 10. Let b(v) = v**3 - 20*v**2 + 74*v - 156. Let f be b(16). Solve h + 12 = -3*h + q*d, -2*h - 4*d + f = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29621024155 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (47\/(-2) - -4)*-2. Let h = n - 7. Suppose 0 = 13*l - 11*l - h. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193 = 3*h + l - 150, 2*h + 2*l + 26 = 0 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from thxkiyyi. Give prob of picking 2 i and 1 x.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*u = -5*c + 68, -33 = -u + 252*c - 261*c for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -89 - 8\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, o: 4, c: 3, e: 3}. Give prob of sequence ovo.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tcctvicckktkqck. Give prob of sequence iktc.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 + 33. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 96\/208 + (-274)\/(-26). What is the highest common factor of p and 451?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3150 rounded to the nearest one hundred?\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19864\/6110 - (3 - 0) and -59\/140.\nAnswer: 6580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1190, -2378, -3566, -4754?\nAnswer: -5942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 4:17 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**3 + 70*a**2 - 480*a - 7200.\nAnswer: 5*(a - 10)*(a + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/3*w**4 + 241\/2*w**2 - 33\/2*w**3 - 1265\/6*w - 121\/2 = 0 for w.\nAnswer: -1\/4, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02402683 to four dps.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 60387.59 days in microseconds?\nAnswer: 5217487776000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31 + -34. Let d(z) = -z**3 + z**2 - z. Let v be d(c). Let g = v + -37. Solve -4*j = f - 8, -4 = -g*f - j + 5 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 212 + -212. Solve y = -4*r - 20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 4*s = -36, 28 = 3*q - q - 5*s. Suppose -3*h - 72 = q*t, 5*t + 5*h + 94 = 9. Round t to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b8e - -4?\nAnswer: -b8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**6\/(w**(-2\/5)\/w))**20 assuming w is positive.\nAnswer: w**148","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s - 77. Let g be h(-32). Let m(u) be the second derivative of -u**3\/2 - 16*u**2 - u. Let a be m(g). Solve -n + a = z - 0*n, 5*z = -n + 27 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -3. Find the first derivative of 3*u**k - 9*u**2 - 8 + 10*u**2 wrt u.\nAnswer: 8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 9*d. Let q(z) = -42078*z + 2. Give k(q(v)).\nAnswer: -378702*v + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 9. Let v be (d\/(-1))\/(-2) - -7. Solve -s + 2*h = -v, -2*s = -5*s + 3*h + 12 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/11, -3, -0.04, -5, -107, -1\/8, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - 5*a - 3. Let n(m) = -m**2 + 4*m + 2. Let v(p) = -p**2 - 10*p - 16. Let r be v(-7). Give r*n(d) + 4*y(d).\nAnswer: -d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 6 - 35. Suppose 87 = 3*j - 0. What is the third derivative of -j*s**4 - s**2 - 3*s**5 + p*s**4 wrt s?\nAnswer: -180*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 610.1, -226, -1\/3 in descending order.\nAnswer: 610.1, -1\/3, -226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 285, 317, 353, 393, 437, 485?\nAnswer: 537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 257*h**3*p**3 + 2*h**3*p**2 - 7*h**3 - h**2*p**2 + 70*p**3 wrt h.\nAnswer: 1542*p**3 + 12*p**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a**0*a)\/(a*a*a*a**(-2\/19)))**(26\/5))**(5\/16))**(-13) assuming a is positive.\nAnswer: a**(1521\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -191 - -1339\/7. Let r be (-44)\/55 - (-296)\/70. Let y = r + -199\/56. What is the closest to 0 in l, 2\/9, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*g**3*l**4 - 489*g**3*l + 34*g**2*l**2 - 261*l**5 wrt l.\nAnswer: 288*g**3*l - 15660*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 96153875855.999999635 - 96153876135. Let p = h - -279. What is p rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2818.91 - -2819. Are r and 65 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 658194 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 1369?\nAnswer: 136b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2)*((0 + 0 + z)*(-2 + 2 - 2*z) + z**2 - 2*z**2 + 0*z**2) to the form f + g*z**2 + c*z and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60660.37 litres to millilitres.\nAnswer: 60660370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 2*m - 1, 4*m = -5*w - 1181. Let u = w - -240. Solve -11 = 2*o - u for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -8357, 822 in descending order.\nAnswer: 822, 6, -8357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 9:07 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -143, -136, -129?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + y - 165 = 204, 5*j + 2*y - 465 = 0. Let q = 98 - j. Solve 5*b = q*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -124422, -0.073 in increasing order.\nAnswer: -124422, -0.073, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) -4 (b) -1\/9 (c) -0.079 (d) 78\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 + 1)*(0*k + 4*k - 6*k) - 463 + 463 - 106*k + 47*k + 0*k + 4*k to a + g*k and give g.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 85159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -477704428 + 477664680.9998. Let g = 39743 + l. Let b = g + 4. Round b to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 8*s**2 + 4*s - 12. Calculate g(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 2*a**4 - 2*a + 2*a**3 - a**4 + 4 to the form j*a**4 + b + d*a**3 + v*a + h*a**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/((-4)\/(-116) - 0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 1 + 1. Suppose -15 = -4*w - l*b + 9, -2*b = -4. Suppose -2*v - 2*v - w*r + 57 = 0, 2*v = r + 11. Solve i = -i - v for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.046, -4, 0.1, -3\/4 in ascending order.\nAnswer: -4, -3\/4, -0.046, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33232 - 21881. Is 213 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 79426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 2*z - 9, -3*v + 4*z - 4 - 11 = 0. Let k be 134 + (v + 1 - -4). Let y = k + 748. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -54\/19? (a) -2 (b) 5 (c) -5\/4 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3839*b**3 + 2*b**2 - 7*b - 5. Let y be z(-4). Let s = y + 94249. Round s to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/86 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54)\/(-26)*-1*((-2409)\/693)\/73*14.\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u - 1. Let m(c) = 8*c + 11. Let o(a) = m(a) + 5*x(a). Let j(f) = 17 - 31*f - 19*f - 18*f + 77*f. What is -6*j(h) + 17*o(h)?\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/299341 and -39\/20440714?\nAnswer: 143084998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 v when three letters picked without replacement from {v: 7, m: 1, c: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -20*n - 65. Determine d(-6).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -539*j + 555*j - 992. Let i(l) = 2*l**3 - 3*l - 3*l**2 - 1 - 6*l**3 - l**2. What is the remainder when j is divided by i(-2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.046 - 0.021. Let z = h + 0.975. Sort z, 1\/5, -3 in decreasing order.\nAnswer: z, 1\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -5*s - 4*q, 2*s - 4*q - 2 + 0 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 32*q + 378. Let b be d(-9). Factor 572\/5*h**2 + 2\/5*h**4 + 64\/5*h**3 + b + 192*h.\nAnswer: 2*(h + 1)**2*(h + 15)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tlmr when four letters picked without replacement from tmlrjtgm.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 2, -15 in decreasing order.\nAnswer: 5, 2, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -3. Let g(p) = -5*p**j + p**2 + 3*p**2. Let v(c) = -c**2. Calculate g(v(q)).\nAnswer: -q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3 - 5*x - x + 36*x + 21*x - 10*x. Let r(v) = 42*v + 4. Give 4*f(j) - 3*r(j).\nAnswer: 38*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = 2*l + 4, l + 83*m - 57*m = -59 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147 is divided by 34.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4533103 (base 6) to base 13.\nAnswer: -80955","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 4)*(-3 + 2 + 13)*(2*i - 6*i**3 - 3*i**3 + 8*i**3).\nAnswer: 36*i**3 - 72*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from tttttttttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in 1, 2\/21, 1061?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19a (base 16) to base 8.\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 848*h + 1461 = -6500 - 1084 - 15547 for h.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 8:44 PM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 107309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*y + 11*y + 14*y + 28*y.\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2279729 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1709820 to the power of 1\/4, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4*-1*(-4)\/(-8). Put 5, -1, k in descending order.\nAnswer: 5, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -4, -3\/8, 1.7, 61, 0.02, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)\/sqrt(3)*-2)\/sqrt(8))**2 + 1*sqrt(147)*4.\nAnswer: 12 + 28*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2152134 is divided by 56.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1673*o + 3 = 3*z - 1671*o, -11*z + 5*o - 26 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 29 and 3.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -8*r - 88. Let m be z(-11). Suppose -l + 4*b + 621 = m, 2963 = 4*l - 3*b + 492. What is the hundreds digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + 3*o + 4. Let h be q(3). Calculate the common denominator of ((-1)\/3)\/(h\/(-93)) and ((-6)\/44)\/(3\/4).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -13*v**2 + 3*v + 1. Let z be w(-3). Let d = 2098 + z. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d. Let j(m) = -m**2 + 13*m + 20. Let t(p) = p. Let k(v) = j(v) + 4*t(v). Let a be k(18). Let n(q) = 0 + 220*q**a - 219*q**2 + 0. Calculate n(z(u)).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -16*n**3 - 7*n**2 + 9*n - 1654. Let k(l) = 9*l**3 + 4*l**2 - 5*l + 826. Calculate -5*k(p) - 3*w(p).\nAnswer: 3*p**3 + p**2 - 2*p + 832","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 11*h**2 + 72*h - 2201. What is the tens digit of s(28)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of -x**4\/24 + x**3\/2 - x**2\/2 - x. Let u(d) be the first derivative of c(d). Determine u(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**0*q*q*q)\/(q**(-14)\/q) assuming q is positive.\nAnswer: q**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 87215754?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/(-3) + 2 - 2. Let p = m - -3. Solve p*s - 17 = -3*s + 4*b, -3*s - 18 = 3*b for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -62 and 165200761?\nAnswer: 165200823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111110 - -11000010000?\nAnswer: 10110010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9081 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -588*c - 317*c = -42*c - 56095 for c.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2575907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 47, 83, 107, 113, 95, 47, -37, -163?\n\"Answer: -s**3 + 43*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 4*i**5 + 38016*i**4 - 1257564*i**3 + 12585016*i**2 - 36466128*i + 32044320 = 0?\nAnswer: -9537, 2, 14, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (5 - (-4 + 11) - 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 40 + -64?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -337 + 337.265. Let r = z - -1.735. Sort -0.2, -1.3, r, -0.07.\nAnswer: -1.3, -0.2, -0.07, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/28385157 and 14\/265.\nAnswer: 141925785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -44 - -46. Find w such that 293 + 0*w**h - 293 - 15*w**2 - 5*w + 20*w**3 = 0.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -105 - -173. Suppose -46 = -3*s + 4*v, 4*s - 2 = v + g. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 142868\/1870 + ((-14)\/(-42) - (-8)\/30).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 18 = 7*x. Does 13 divide 54 + (8\/x)\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 12 = -3*t, 5*t + 4*o - 4 = 17. Calculate the lowest common multiple of 16 and (-2)\/t + (-204)\/(-10).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38*k**3 - 4 + 4 - 528*k**3)*(1 + 1 + 1)*(-2*k**2 - k**2 + k**2).\nAnswer: 3396*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11043*o + 0 + 0.\nAnswer: -11043*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(20\/(-15))\/(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 43089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**2 + 2*y**2 - 3*y**2)*(-13*y**2 + 0*y**2 + 0*y**2) + (-y**3 + 3*y**3 + y**3)*(1 + y - 1).\nAnswer: -23*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 124 = 3*s + 19, 0 = 5*j + 5*s + 355. Let r = -65 - j. Suppose 80 = q - r*m, 0*m - 400 = -5*q - 3*m. Round q to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (0 - -4) + -14?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 166181 + 216188604?\nAnswer: 216354785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 438836 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -220 + -122?\nAnswer: -342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r**2 - 10*r + 8. Let w(p) = p**2 - p. Let b(m) = -w(m) + y(m). Let q be b(5). Calculate the remainder when (-4)\/q*15 + 2 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 2 (c) 208\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/1716 and -115\/1092.\nAnswer: 12012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k = -5*l - 2 - 2, 0 = -k + 5*l + 12 + 16 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in 714, -3, 0.1, -5, -71, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 10:29 PM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 5*h + 15 = 0, 77*h = 80*h + 6 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 69 + -33. Let v = 61 - t. Let x(f) = -f**3 + 7*f**2 - 5*f - 3. Let k be x(6). Solve 8*y + v = k*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 4. Let p(j) = j**2 - j - 2. Let a be p(3). Suppose 0 = x - a*x. Solve y + x*y + q = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 1.4. Let d = -13 - u. Let w = d - -1.4042. Round w to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 737873467 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + 463?\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 177008 and 74.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2334 + -2339. Sort 1, 4, 10, 6, o in decreasing order.\nAnswer: 10, 6, 4, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 182? (a) 5.4 (b) -0.3 (c) 4173\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 11:31 PM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 40. Let l = 30.7 + o. Put 0.03, -1\/3, l in increasing order.\nAnswer: -1\/3, l, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cjj when three letters picked without replacement from {e: 3, j: 3, c: 1, s: 4}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-44)\/d)\/d**(-24)*(d**37*d)**(-5\/3))**41 assuming d is positive.\nAnswer: d**(-10373\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 126 - 120 = 0. Suppose 3*l + x*a = 2*a + 718, -2*a + 246 = l. Calculate the remainder when l is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 181.05 + -181. What is the smallest value in 3, u, -1\/5, 5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*v + 15. What is the remainder when 3 is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10336*x + 8 = 10338*x, 2*f - 3*x + 4 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-404)\/28 + 11 + 3\/7. Which is the nearest to 1\/3? (a) 1 (b) 34 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (730\/(-90) - -9)\/(182\/117)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3*g - 5. Let q be i(-4). Let s(x) = -3 - 5*x + 14 - q. Is s(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 315 and 84.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-6))**(1\/26)\/(y**(-1\/6)\/y)**(-19\/2) assuming y is positive.\nAnswer: y**(-1687\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3 + 6*-6*(sqrt(833) + sqrt(833)*5 + -4 - sqrt(833)))**2 + -4.\nAnswer: -1852200*sqrt(17) + 135054041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 3, -2138, 1, -0.15?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22682279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 55.76 + -0.76. Let k = 54.46 - j. Let m = k - -0.14. Which is the nearest to 2? (a) m (b) 2\/5 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((343\/(-42))\/(-49))\/(2*(-3)\/84).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - -1)*(0 - -1). Suppose 0 = -u + g*u. Suppose u = d - 10 - 23. Is d a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8651, -8637, -8623, -8609, -8595?\nAnswer: -8581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*-381*(-183)\/66. Let r = b + -2108. Calculate the common denominator of 41\/9 and r.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -100*v - 96*v + 160*v**4 - 97*v - v**3 + 0*v**3 + 295*v + 1 to m*v**4 + q*v + p*v**3 + i + z*v**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of -17*z**2 + 0*z**3 - 1\/15*z**5 + 0*z + 1\/120*z**6 + 0*z**4 + 0. Determine n(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 85371\/4619 - 574\/31. Let q = 14969\/2384 - h. Calculate the common denominator of q and -97\/24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, h: 4, l: 3, e: 6, u: 2, t: 2}. What is prob of picking 1 y, 1 l, and 1 u?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1470) + -1*sqrt(1470))*3)\/(-2*1*sqrt(10)*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (1 - 2)) + 390\/(-26) + 1566\/99?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 0.2. Which is bigger: p or -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3831, -7708, -11581, -15450, -19315?\nAnswer: -23176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 + 73*u + 72. Let b be l(-1). Which is smaller: b or 3\/1819?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48468.\nAnswer: 2, 3, 7, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 0*d + 300. Suppose -3*v = 3*u - 36, -5*u + 4*v = v - d. Let f = -148 - -150. Solve -c = 3, c = -4*b + f*c - u for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 AM and 4:26 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 85 - -7?\nAnswer: 8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 46*d - 461. Calculate l(9).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 640 by -33.\nAnswer: -640\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + 9*j + 14. Let v be l(11). Let r(t) = t**3 + 8*t**2 - 10*t - 10. Let n be r(v). Suppose -3*s + n = -s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 0.1163536 days?\nAnswer: 2.7924864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 18037 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 3557973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1934 - 1303. Is 16 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qsw when three letters picked without replacement from sswq.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 - -16.969. Let g = 0.03100037 + i. Round g to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3855.9508 to the nearest ten.\nAnswer: 3860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, 3\/4, 12, 1, -13?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2675 and 200?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*x = 6. What is the first derivative of -43*p**3 - x + 3 + 45*p**3 wrt p?\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-224)\/294*(-27)\/72\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1854, -8580, -19778, -35442, -55566, -80144, -109170, -142638?\n\"Answer: b**3 - 2242*b**2 - 7*b + 394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -8 - x**3 + 0*x - 7*x**2 + 3*x**3 - 6*x. Let i = -66 + 68. Let v(d) = -9*d**2 + 12 + 2*d**3 - 5*d + 3*d**i - 19. Calculate -6*v(l) + 5*w(l).\nAnswer: -2*l**3 + l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/23 in -6\/5, -4, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, r: 5}. What is prob of picking 2 r and 1 h?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 15*y**2 + 7. Let t(j) = j**2. Calculate t(w(o)).\nAnswer: 225*o**4 + 210*o**2 + 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + w - 2373, 5*m - 3*w - 156 = 2823. Does 13 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*z - 73 - 42 = 21. Determine n, given that 3\/2*n + 0 - 3\/2*n**z = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 + 16. Let l be 2\/1 - (6 + 0). Put i, l, 0.4 in descending order.\nAnswer: 0.4, l, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110421 (base 6) to base 12.\nAnswer: 5411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 + 9*j + 15. Let w be l(-7). Suppose -w = -5*a - 26. Which is greater: 3 or a?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-558)\/(-126) - -4) + -8\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-42)*70\/(-36)*9\/12?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 69 = -s, -2*u = -291*s + 286*s + 213. What is the highest common divisor of 1413 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7 - -421?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 51 + 6 - (105 - 129).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 495084635047 and 0.055?\nAnswer: 495084635046.945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3)*-2 + 2 + 2*(-1 + sqrt(3)))**2 + -3 + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 6*k + 20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1241 + 4633 = 511*n - 747*n - 2386 for n.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**4 - v**3 + v**2 - 1. Suppose 7*c - 4*c - 6 = -5*p, -3 = p + 2*c. Let d(w) = 2*w**4 + 2*w**3 - 3*w**2 + 3. Let k(n) = p*f(n) + d(n). Factor k(y).\nAnswer: -y**3*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(76) + -2*sqrt(76)*2 - sqrt(76))\/(sqrt(48)\/(-2*sqrt(12))))**2 - ((sqrt(209)*-3*2)\/(sqrt(11) - sqrt(396)*3))**2.\nAnswer: 8784916\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -113746 (base 11) in base 16?\nAnswer: -2c166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -7013, -2\/9, -5, -0.13, 10?\nAnswer: -7013","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of -p**4\/12 + 2*p**3\/3 + 190*p**2 + 17*p. What are the prime factors of d(0)?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 12*w**3 + 9*w - 9. Let i(a) = -a**3 - a + 1. Let t = 3737 + -3733. Calculate t*y(n) + 36*i(n).\nAnswer: 12*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 123432343 (base 6) to base 8\nAnswer: 11154647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - 4*c + 2*c)*(4*c**2 - c**2 - 2*c**2) - 4*c**3 + 6*c**3 - c**3 + (-3*c + 3*c + 2*c**2)*(5*c - c - 2*c).\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 68376524?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of (-32)\/(-1)*(1247 - 29)\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.05 (b) -3\/4 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.158 + -2.842. What is the nearest to 0.7 in 1\/4, 0.5, g?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -55356906*l**4 - 56082127*l**2?\nAnswer: -1328565744*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - 5*x + 30 = -q, -4*q - x + 21 = 0. Let p = q + 3. Is 381\/4 + (-2)\/p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 - 10*o**2 + 234*o + 1779. Calculate t(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.9988954658 and -383.\nAnswer: -382.0011045342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5785101 divided by 21\nAnswer: -275481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 42990*k**3 + 38608 wrt k.\nAnswer: 128970*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 150 - 3?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4780?\nAnswer: 2, 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/36)\/(4\/60*-5)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1126*l**2\/9 + 40556*l\/9 + 80 = 0 for l.\nAnswer: -36, -10\/563","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and 1169.6.\nAnswer: 1169.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1560 = -5*j + 5*x, 4*j + 4*x - 1218 = 2*x. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 5*p**2 - 160*p + 1024. What is l(23)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13200 and 24552.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate l**2*n*p*q - 13*l**2*n*q + 2*l**2 + 307*l*n*p*q - n*p*q - n*q - 2*n with respect to p.\nAnswer: l**2*n*q + 307*l*n*q - n*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 5 = 3*g - 4*l, -5 = -g + 5*l. Which is bigger: -3\/14 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -136.2? (a) 10 (b) 42 (c) -5\/3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33 + 35. Suppose j - 9 = -u*j. Let w be (j\/(-2))\/((-27)\/36). Solve -5*z - p + w*p = -22, -2*p = -2*z + 4 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68.8859955 rounded to the nearest integer?\nAnswer: -69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -125*s + 5. Let h be i(-1). Suppose 100*f - 95*f = h. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -23 (b) -4 (c) -1\/3 (d) 6\/37 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 1 - 24 = 0. Let c = 1 + o. What is the third derivative of -3 + 7*k**4 + k**4 + c*k**2 + 3 wrt k?\nAnswer: 192*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6429, 6463, 6497, 6531, 6565?\nAnswer: 6599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -158.6 rounded to the nearest integer?\nAnswer: -159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 3 + -1 + 0 + -7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (1*(sqrt(833)*-1 - sqrt(833)) - (0 + sqrt(833))*3))**2 + -2 + -2.\nAnswer: -210*sqrt(17) + 20830","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 878 is divided by 90.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j - 6. Let x(l) = -11 - 11*l - l**2 + 0*l**2 - 5*l + 39. Let o be x(-18). Give w(o).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48631?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -394 = -5*j - 4*r + 454, -3*r = -6. Does 12 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9783?\nAnswer: 3, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 854?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cnnn when four letters picked without replacement from cnufucucucnfc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.61*0.08\nAnswer: 0.0488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 47861669 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -456.36468729 and 2.1?\nAnswer: 458.46468729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**3 - r**2. Let b be q(-4). Let j = b - 79. Calculate the smallest common multiple of 26 + 6 + -14 + 6 and j.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -3511220*a**2 + 156094260*a - 1734825645 = 0.\nAnswer: 18627\/838","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -4, 1\/5, 1, -1.24428?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2722.21036 rounded to the nearest integer?\nAnswer: 2722","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a meter in millimeters?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 40270073.68 less than 0.0337?\nAnswer: -40270073.6463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -277867219, -277867215, -277867211, -277867207, -277867203, -277867199?\n\"Answer: 4*f - 277867223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - t + 2*j - 1 = 0, 0 = 2*j + 2. Suppose t*n - 2 = 4. Solve n*f + 18 = 8 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(-2\/5)\/d))**(24\/5)\/(d*d**(2\/7)*d\/(d**6\/d)) assuming d is positive.\nAnswer: d**(2491\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 3026 = -2*s, 0 = 44*i - 49*i + s + 5041. Let a be 1\/3 - 84\/(-18). Suppose -z - a*z + i = 0. List the prime factors of z.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.18*-3.7\nAnswer: -0.666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 102*q + 10992. What are the prime factors of z(-11)?\nAnswer: 2, 3, 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*s - 557 + 487 = 0 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10226715.\nAnswer: 3, 5, 681781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -37*d**2 + 2*d - 8. Let c be m(-4). What is c rounded to the nearest ten?\nAnswer: -610","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 703 - -2870. What is the thousands digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of -23*n**6\/15 + 11*n**2\/2 + 52*n - 1. Differentiate b(x) wrt x.\nAnswer: -184*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 24*y - 392, -9*y + 7*y - 3*s - 484 = -504 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g + 3*g - 11*g + 3*g + 8*g.\nAnswer: 7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -122776 and 0.33.\nAnswer: -122775.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 smaller than 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -j**5\/30 + 5*j**2 + 4*j. Let m(z) = 2*z**2. Calculate r(m(s)).\nAnswer: -8*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nynncnfnnyffneenn. Give prob of sequence eyy.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 496, 563, 646, 751, 884?\nAnswer: 1051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - (-528)\/55)*-5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 0.00017, -276, -5 in descending order.\nAnswer: 0.00017, -1\/6, -5, -276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1111485 and 115?\nAnswer: 25564155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 540 (base 8) in base 4?\nAnswer: 11200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23909, -23893, -23851, -23771, -23641, -23449?\nAnswer: -23183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3719087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2 + sqrt(300) + sqrt(300) + (sqrt(300) - ((sqrt(300) + 2)*6 + sqrt(300))))**2 + 0.\nAnswer: 800*sqrt(3) + 4900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 4*t - 11980584 = 0. Let p = t - -504854. Round p to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 442279 and 31559.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 36 - 126 = 0. Let y = 69 - m. Suppose 2*k = -1 + y. Calculate the greatest common factor of 5 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 8815, 437, 1, -2 in descending order.\nAnswer: 8815, 437, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ofddi. What is prob of sequence do?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 172*r**2 + 486*r**2 - 2 + 296*r**2 + 2819*r**3 - 7770*r**3 wrt r?\nAnswer: -29706","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3*o = -10, 5*o + 1171 = 2*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 30ce - -4?\nAnswer: 30d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -64378, -64116, -63854?\n\"Answer: 262*k - 64640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21\/5 + 68\/15. Which is the second smallest value? (a) 5 (b) 2 (c) s (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -0*g - 15. Suppose -g*l = -2*t + 25, 15 + 57 = 3*t + 4*l. Does 5 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -233 + -13?\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of -3 + -1 + 44\/2 and 28.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.06 (b) 1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 71546426 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3405550*h**3*u**2 + h**2*u - h*u**2 + h*u + 2*h + 608198*u**2 wrt h.\nAnswer: 20433300*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1951135511.\nAnswer: 13, 41, 3660667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) 3 (b) -6\/601 (c) -1\/3 (d) -29 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-19)\/(-19))\/(475\/(-40) - (-3)\/(-24))?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 m when four letters picked without replacement from {p: 4, d: 2, m: 6}.\nAnswer: 16\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.21 rounded to zero decimal places?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-35))\/(9\/189).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 89*t + 88*t = 15, -3*s - 2*t = 16 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -932049, -1864433, -2796819, -3729207, -4661597, -5593989, -6526383?\n\"Answer: -x**2 - 932381*x + 333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15\/(735\/28) + (-34)\/(-14). Let u(s) be the third derivative of 1\/80*s**5 + 0*s + 0 + 0*s**i + 6*s**2 + 1\/16*s**4. Factor u(d).\nAnswer: 3*d*(d + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/45*(-6)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1916\/3 smaller than -0.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.07 + -0.37. Suppose 5*o - 85 + 35 = 0. Which is the third biggest value? (a) o (b) -2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -5*i**3 + i**2 + 2*i + 2. Let s be x(-1). Let k be (-33)\/(-2) - s\/4. Which is bigger: k or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*s + 194 - 194)*(1 - s - 1) + (s - 2*s + 4*s)*(5*s - 3*s - 4*s + (-13 + 21 + 15)*(6*s - 3*s - 2*s)) + 0*s**2 + 2*s**2 + 0*s**2.\nAnswer: 53*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 38 (c) 3\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -28 - 26. What is the least common multiple of 9 and c?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -215*l = -180*l - 109935. List the prime factors of l.\nAnswer: 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/74725 and 123\/463600.\nAnswer: 22716400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*a = 5*f - 255, -9733*a = -4*f - 9731*a - 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -24.399 and 0.0093 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1965813.555673 + 1965815. Let k = -1.445 + v. What is k rounded to five dps?\nAnswer: -0.00067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-11595)\/(-55) - 4\/(-22). Suppose 16 = -3*i + d. What is the highest common factor of i and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/11)*g\/(g**(-1)\/g))**39 assuming g is positive.\nAnswer: g**(1248\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3.6 or -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -251 - 0?\nAnswer: -251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (-1 + 5 + -4)) + 8\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -11. Suppose 0 = p*g - 3*h + 5*h - 118, -g + 23 = h. Is g a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2 + 3680*y - 14752.\nAnswer: 2*(y - 4)*(y + 1844)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 + 22. Let y(o) = -15*o**3 + 15*o**2 - 2*o + 15. Let c(x) = -8*x**3 + 8*x**2 - x + 8. Let u(k) = i*y(k) - 11*c(k). Calculate u(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 g when three letters picked without replacement from fefhgcr.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (26\/(-6))\/(2\/(-6)). What is the greatest common divisor of 39 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17533.\nAnswer: 89, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 113.8093ml in litres?\nAnswer: 0.1138093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4812023, -4812014, -4811991, -4811948, -4811879?\nAnswer: -4811778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3711764*q - 1855879*q - 1855882*q.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -164*f - 152. Let u be x(-5). Let k = u + -56. Is 36 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5b903 (base 13) to base 8\nAnswer: -511060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118135 is divided by 29532.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35 + -17. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 o, and 2 g when four letters picked without replacement from gtttotddgttdttto.\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -93 + 134. What is the second derivative of -3*t**3 + b*t + 45*t - 22*t**3 wrt t?\nAnswer: -150*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2367685682?\nAnswer: 2, 199, 5948959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 6 = -t, u + 3 - 5 = t. Let x be (0 - u)\/((-6)\/(-9)). Suppose 0 = -x*s + 36 + 24. Is 10 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248 is divided by 55.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -596039 - -2990616\/5. Let p = z + -2074. Find the common denominator of 53\/7 and p.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/166 in -0.5, 59\/12, 21, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*g**4 - 21*g**5 + 7*g**4 + 0*g**4 + (-2*g**3 - 3 + 3)*(-2*g**2 + 23 - 23).\nAnswer: -17*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 divided by -6350121?\nAnswer: -20\/6350121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2 + (-3 + -2*sqrt(3) + sqrt(3) + sqrt(6)\/sqrt(2)*3)**2 - 1*(-1*sqrt(12) - (sqrt(3) + -6*sqrt(18)\/sqrt(6) + sqrt(3))**2).\nAnswer: -10*sqrt(3) + 71","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 132, 527, 1184, 2103?\n\"Answer: 131*z**2 + 2*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.013*219.\nAnswer: -2.847","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5183 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -4. Suppose m = -4*f + 14 - 4, -2 = w*m - 3*f. Let u be m - ((-1 - -3) + -460). Round u to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 65*q**5 + 20290*q**4 + 1564280*q**3 - 3028530*q**2 - 5546025*q = 0.\nAnswer: -157, -15\/13, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 31 = -55. Suppose -b*w + 12*w = 36. What is the greatest common factor of 45 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 2*c - 4*n - 18, -3*c + 2*n + 24 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (670425\/107268)\/(((-2)\/((-32)\/(-2)))\/(2\/4))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29316*k + 29290*k - 806 for k.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y - 4*y = 24. Suppose -h - y = 3*n, 2*h + h = -n + 20. Let r(x) = x**2 - 7*x + 15. What is the units digit of r(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40547\/41 + -989. Which is greater: b or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2801971?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + 1. Let k(q) = -101*q**3 + 3*q**2 + 2*q + 4. Let v(f) = k(f) - 3*s(f). Is v(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 43510306 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 278760 + -126787. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 0.6. Let a = -2933 - -2932.5. What is the nearest to 3 in a, j, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2 = -d + 3, -3*d - 9 = -5*s. Suppose 0 = n - 2*z + 4*z + 13, 5*z = 2*n - 19. Let i = n + s. Solve 5*c + i*c = 5*u + 30, -c = 4*u + 4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from {f: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -45 + 84. What is the remainder when a is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -2*a + 4. Suppose -3*x + 5*s = 3, -x - s + 0*s + 7 = 0. Let o be 14 - ((-2 - 0) + x). Calculate the greatest common factor of a and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37 - -65. Let a = 143 - r. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 23\/24, 0.3, 0.71, -1 in descending order.\nAnswer: 3, 23\/24, 0.71, 0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i = -3*i + 5*q - 60, -4*i + 5*q = -48. Let k be 4\/i - (-22)\/6. Suppose -4*l + 254 + 114 = k*z, 0 = l + 5*z - 104. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7997500 or 7997499?\nAnswer: 7997499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -86*a + 1208. Give d(10).\nAnswer: 348","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000604613 rounded to six dps?\nAnswer: 0.000605","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -678*d + 687*d + 3 - 1 + 0.\nAnswer: 9*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 28 - 3. Suppose 3*r = y*r. Solve r = 2*l - 6*l - 16 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 20 = -0*t. Let m(h) = -13*h**2 - 3. Let o(y) = -26*y**2 - 5. Let r(u) = t*m(u) + 3*o(u). Let g(f) = -f**2. Calculate r(g(b)).\nAnswer: -13*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 + 17)\/(1\/4). Let u be 2\/(2\/2 + -2). Let y be (-29)\/(-2) - (-1)\/u. What is the greatest common factor of y and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283512 to the power of 1\/2, to the nearest integer?\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -36\/133 and ((-160790)\/1425)\/14 - -8.\nAnswer: 1995","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbc when three letters picked without replacement from ccbmbcmchcbccbbc?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 60*h - 31*h - 28*h + 28 as f*h + p and give p.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-3 - -2) + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (7\/((-231)\/22))\/(33\/(-1782))\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -11, 0.4, -0.2, 0.5, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2586.243 rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 5*z + 65 = 0, 0 = -2*p + z + z + 106. What is the tens digit of p*1\/20*44?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3*h**2. Let v(n) = -12379*n**2. Calculate v(a(d)).\nAnswer: -111411*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of o**4\/4 + 11*o**3\/3 - 17*o**2\/2 - 39*o - 10. List the prime factors of d(-11).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14) - sqrt(56))\/sqrt(2) - sqrt(252))**2.\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 797307?\nAnswer: 3, 7, 37967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-79)\/(-8) - (-2)\/16. Suppose 72 + 168 = l*m. What is the remainder when 57 is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14447*u + 14471*u = 72. Sort 1, -98, u, 0.\nAnswer: -98, 0, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 890 - 1180 = 0. Let r be (-2)\/(-16) - u\/(-40). Let d = 31 - r. Solve -4*y = -d*c + 20, 3*c + 3*y + 2*y - 12 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 960 or 4801\/5?\nAnswer: 4801\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 38\/3379 at most as big as 3.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (26\/4)\/(-4 + 6) and (-966)\/20 + (-4)\/20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 566400?\nAnswer: 2, 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.09? (a) 0 (b) 0.05 (c) 91 (d) -5\/2 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(450\/25)*1*24\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -411*k**2 - 1488*k + 638. Calculate z(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q + 9239 = -7645. Is 14 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32015 and 2696.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k + 9. What is the smallest common multiple of 760\/48 + -17 - (-158)\/12 and t(5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 1 - 2*q**2 + 5*q**2 + 0 in the form b + p*q + m*q**2 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 12*v + 1 = 7, -10*v = 9*m - 6*m + v - 14 - 37 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -8*z**2 - 246*z + 74. Let k be a(-31). Solve -84 = -16*o + k for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2867?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {e: 8, r: 5, z: 5}?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 27, 46, 83, 144, 235, 362, 531?\n\"Answer: j**3 + 3*j**2 + 3*j + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 - 4*r - 2*r + 3*r)*(-3*r + 4*r + 0*r).\nAnswer: 2*r**3 - 3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -222, -203, -176, -141, -98, -47, 12?\n\"Answer: 4*c**2 + 7*c - 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*10272 - (-127 - -109). What is the highest common factor of w and 280?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -210 < -1051\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8452952?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1875783?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28202724 divided by -36.\nAnswer: -783409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 3*d**3 - 4*d**4 + 4*d**2 + 3*d**4 + 0*d**2 in the form f*d**2 + o + s*d + j*d**3 + n*d**4 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 8*t - 6 = -24, -3*i + 59 = 3*t + 17 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 4*r - 624, 0*r = -h + 2*r + 320. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*u + 4*h, -2*u = 2*u + 3*h - 2. Suppose 0 = -12*z - 53 + 17. Let j be 7\/(-9) - (-1 + 0). What is the third biggest value in j, u, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1441 greater than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 60 = -6*r. Let w = -5 + r. Suppose w = 2*v + n, 5*v - 3*n - 16 = -6*n. Solve i + i + v = -5*o, 1 = o for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -11, -23, -47, -89, -155?\n\"Answer: -y**3 - 5*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - 6*w + 5. Let d be s(6). Suppose d*n = i - 4, i + n = -0*i - 2. Suppose 16 = x + 4*f, x + 3*f - 12 = -3*x. Is i < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 70 and 85078.212.\nAnswer: 85148.212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 89194.34 grams?\nAnswer: 89194340000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184669 - 44410 = 21*f. Does 67 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (171\/(-4959) - (-2542)\/(-290))*(-30)\/4.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 181128959273299\/348 - 520484389971. Let r = -1125183 + j. Let n = r + 1\/116. What is the nearest to 2 in -2\/5, -5, n?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 62972 and 1274.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -42 - -141184.\nAnswer: 141142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 27\/2 of a gram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -60*d + 63*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 650 and 18.\nAnswer: 5850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/((t\/t**(3\/10))\/t*t)*t*(t**17\/t)\/t*t*t*t assuming t is positive.\nAnswer: t**(193\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -34\/49? (a) -6\/25 (b) -4 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1021 = 24*l - 10429. What is the remainder when l is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + 4\/(-6))\/((-207296)\/816228).\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of 29*a**4\/12 - a**3\/6 + 5*a**2\/2 + 8*a. What is the tens digit of m(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {u: 2, o: 4}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (146 + (-12789)\/87)\/(3\/(15\/4))\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -12*j**2 + 2. Let w(b) = -b**2. What is w(s(n))?\nAnswer: -144*n**4 + 48*n**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + n + 1. Let f(d) = 3*d**3 - 5*d**2 - 22*d + 18. Let c(z) = f(z) + 2*l(z). Factor c(r).\nAnswer: 5*(r - 2)*(r - 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -o**3\/12 + 5*o**2\/8 - 3*o\/2 - 1. Let u(l) = 0. Calculate l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 8 - 30*f + 4*f.\nAnswer: -26*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2472 + 0.257. Let d = n - 18.0098. Let o = -5.6 - -6. Which is the nearest to 1? (a) 1 (b) d (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13.5 + 1.5. Let p = g + 11.99999952. Round p to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k**2 - 2*k**2 + k**2)*(10 + 3 - 5 + 5 - 4 + 0 + (2 + 0 - 1)*(0 - 2 + 1)).\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -224197952 divided by 3503093\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3265?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-38)\/(-361) - (-148)\/38. Solve 4*s + 0 = g for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1331\/6 - 221. What is the closest to 1 in -2\/9, x, -0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of -5*y**3\/6 - 3*y**2\/2 + 3*y. Determine h(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17791642 to the power of 1\/3, to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 15\/4*h**4 + 9\/2*h**3 + 3\/4*h**2 + 0*h + 0 = 0.\nAnswer: -1, -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 5*f**2 - 6. What is the tens digit of c(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1088.918 to the nearest ten.\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -74*q + 8. Is u(-2) a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 119 and 2849?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2254)\/(-70) - (28\/(-10) - -2). Which is smaller: z or 34?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-49)\/28*4\/(-14)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -335*n**3 - 81695*n**2 - 150290*n + 232320 = 0. What is n?\nAnswer: -242, -192\/67, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 - (0 + (3 - -1)). Suppose -3 - 2 = -5*l. Let i = l - p. Calculate the lowest common multiple of 8 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -3*(2 + sqrt(108))*2 + 0)*2*-4 + -3.\nAnswer: 101 + 288*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 186*n**2 - 2*n - 555 wrt n.\nAnswer: 372*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from -34712.\nAnswer: -34712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 - -6033437?\nAnswer: 6033442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9984?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qksqdsfdadkdaks. Give prob of picking 2 a and 1 d.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 7:05 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 10, -18, -3, 47.\nAnswer: -18, -5, -3, 10, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -268 divided by -134?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + q + 9 = 0, 1699*q = i + 1694*q + 25 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v + 5*r - 1, 11631 = 7*v - 3*r + 11689 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (20\/16)\/(1\/8). Let d(q) = -q**3 + 10*q**2 - 3*q - 2. Let g be d(m). Let u = g + 69. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -6 - 2) + 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 396434 or 396519?\nAnswer: 396519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4292*a**2 + 7785*a**2 - 4130*a**2)*(-a**3 + 5*a**3 - 2*a**3).\nAnswer: -1274*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 450320 and 17550.\nAnswer: 60793200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*((-3)\/(-5))\/((-4110)\/700 + 6).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180175187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19676.268179351 + -0.14.\nAnswer: 19676.128179351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and -21.\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 12, -305 + 2511 = -2*s - 2*u. Let r = -1098 - s. Find h such that -22\/15*h**3 - 4\/15 - 2\/5*h**4 - 6\/5*h - 2*h**r = 0.\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 8*f**2 - 3*f - 44. Let k be x(4). Suppose 4*j - 6 = 2. Suppose -j*w = -3*w + 3. Solve v + w = k for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -1. Let s = -14 + 15. Let y(t) = t**2 - t - 1. Let l be y(-2). Suppose l*p - 1 = 9. Let k(n) = 3*n. Calculate p*g(w) + s*k(w).\nAnswer: 3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 + r + 9. Let x be w(0). Suppose 6*o - 3*o - x = 0. What is the remainder when (o + -2 + 0)*74 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178739 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 67 - 27. Suppose 0 = 4*i - 3*y - 94, 2*y - r = -0*i - 2*i. Calculate the remainder when i is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37 + -53. Let y(i) = -i**2 + 7*i - 8. Let l be y(5). Let n be (42\/(-56))\/((-6)\/(-16)). Which is the nearest to 1\/4? (a) n (b) l (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 327876 and 601106?\nAnswer: 3606636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3164 by -2.\nAnswer: 1582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 699.\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*b**2 - 5*b**2 - 2*b**2 - 5*b**2 as a*b + n + z*b**2 and give z.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000002615282 to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3 + w - 6 - 11 + 8 - 13*w**2 + 5. What is a(-2)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuubukkuulul. What is prob of picking 1 u and 1 k?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -231, -223, -211, -195?\n\"Answer: 2*i**2 + 2*i - 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 335 + -334.2. Sort 3, 2, -1\/8, t in descending order.\nAnswer: 3, 2, t, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6725335 and 138.\nAnswer: -6725197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 0*z - 2*z)*(z - 2*z - z) + 56*z**2 - 2525*z + 2525*z.\nAnswer: 60*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 2*f - 0*f. Let x = f + 21. Let i be x\/3 + -3 + 3. Solve -5*k + 0*k = u + 2, -i*u + 4 = 2*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 24*j - 45. Let p(a) = -3*a - 57. Let h be p(-25). List the prime factors of o(h).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 25\/4 of a decade?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -5*b**2 - 2*b + 1. Let c be j(1). Let s = c - -2. Let t = s + 6. Calculate the least common multiple of 7 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, i: 1, g: 5, l: 1, r: 1, n: 4}. Give prob of picking 1 x and 1 g.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3050 is divided by 761.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86843?\nAnswer: 86843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 i when two letters picked without replacement from wwwwhwwwwhwwwhwihh.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - 6*b - 3. Let k be o(7). Solve -10 = t + k*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -79 + -137e0e?\nAnswer: -137e88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 46, 105, 182, 277, 390, 521?\n\"Answer: 9*w**2 + 32*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25) - (sqrt(50)\/(sqrt(8)\/sqrt(4)) - sqrt(25)))\/sqrt(5) + -2.\nAnswer: -2 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 109272.7 or 414?\nAnswer: 109272.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 + 6. What are the prime factors of o?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -229185 = -5*a - 5*d, -911*d = 4*a - 914*d - 183404. List the prime factors of a.\nAnswer: 5, 53, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/24)*q)**(-1\/43)\/(q**(-14)\/q**15))**(-46) assuming q is positive.\nAnswer: q**(-687769\/516)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -8591806 >= -8591806?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*b + 44*b**3 + b - 48*b**3 as t*b**2 + x*b**3 + s*b + c and give s.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a + 25. Calculate b(11).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*i = 3*u - 29*i - 21, -2*u = -i - 28. What is the highest common factor of u and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x**3 - 2*x**2 + 7*x + 33. Let u(b) = b**3 + b**2 - 3*b - 16. Let o(y) = 2*f(y) + 5*u(y). What is o(0)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -1 + 4*p**2 + 13*p - p**2 - 4*p**2. Suppose 282*r + 214*r - 18*r = -111*r + 7068. Determine n(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 7*p - 29 = 0, -4*p + 28 - 51 = -3*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-22)\/(-1) + 12\/(-6). Let i = t + -10. Suppose 2*f - i = -4*q + 2, 0 = 4*q + 20. Solve 0 = -3*s - s - f for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*y - 2107*y**3 + 13*y + 1170*y**3 + 5909*y**3.\nAnswer: 4972*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/3 of a decade in months?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15773 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35886 + -35887. Sort -18, -0.39, -1\/3, w in increasing order.\nAnswer: -18, w, -0.39, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -8*n**2 + 4*n - 1. Let o(s) = 7*s**2 - 3*s. Let v(b) = 4*l(b) + 5*o(b). Let w(m) = m**2 - 1. Give -v(q) + 4*w(q).\nAnswer: q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1947*i**2 - 6917 + 6917 + 27171*i**2.\nAnswer: 25224*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + 10\/2 - -43)*1\/(-3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one twentieth of a kilometer?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 + 2*g**3 + 15 + 16.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jllj when four letters picked without replacement from {t: 1, l: 5, j: 2, s: 1, y: 2, d: 4}?\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 175218 and 4990639.\nAnswer: 1537","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and -15494452976409?\nAnswer: 15494452976408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 9:43 PM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 401304 * -5\nAnswer: -2006520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3574*v - 1896459 + 1896459)*(-4 + 9 + 4).\nAnswer: 32166*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36 + -28. Let z be (-9)\/(-6) + 20\/s. Solve 5 + z = -3*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 1 = 7. Let h(v) = -v - 4 + z + 2. Let j = -5 - -10. Give h(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2983 - 2980. Let p(m) = 0 + 19*m + 3 - 19*m - 6*m**2. Let d(i) = -17*i**2 + 8. What is f*d(q) - 8*p(q)?\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/304 and 113\/24.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1577 + 1578 + 5*i**2 + 1581 - 4736.\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000149560354 to 5 decimal places.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10 + ba1981?\nAnswer: ba1971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*g + 47*g**2 + 44*g - 2.\nAnswer: 47*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 17148?\nAnswer: 34296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/28 and 35\/108.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1838755 - 1838753. Let -2*n + 1\/3*n**3 + 13\/3*n**4 + 5\/3*n**5 + 0 - 13\/3*n**r = 0. Calculate n.\nAnswer: -2, -1, -3\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -153, -605, -1365, -2439, -3833?\nAnswer: -5553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.056 (b) -246 (c) 43 (d) 1 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 q, and 1 g when three letters picked without replacement from vgqgovzgvq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -12*s**2 - 8*s**2 + 3*s**2 + 0*s**2. Let v(t) = -t**2. Give n(v(k)).\nAnswer: -17*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -1\/42814?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 40 - -129. What are the prime factors of a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 9:52 PM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 529 and 5946949.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4014.\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35753 is divided by 206?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yeye when four letters picked without replacement from {y: 2, e: 8}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177 = -5*g + 53. Suppose -3*k - 21*r + 76 = -25*r, -5*k = -5*r - 125. What is the remainder when -4*(0 - g\/4) is divided by k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-36)\/(-90)*2*(-2)\/(-24). Let i(m) be the third derivative of 1\/600*m**6 - m**2 + 0*m - v*m**3 + 0 + 0*m**5 - 1\/40*m**4. Factor i(w).\nAnswer: (w - 2)*(w + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9312 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*m + 15*m = -81770. Does 34 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b*l**4 - 3*b*l**2 - 23*b*l - 1294*b wrt l.\nAnswer: 4*b*l**3 - 6*b*l - 23*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 - -24. Suppose 30 = -s*d - 5*d. Let n be 1\/d - 2\/36. What is the closest to 1\/2 in 4, -4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 149826922 divided by 3257107.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -1\/3, 1, 11, -1\/2 in increasing order.\nAnswer: -1\/2, -0.4, -1\/3, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -16, 16, -0.5, 1\/17, -12\/7?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 845 - 840. Solve -2*t = 5*z + 25, -5*z - o = 5*t - 7*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y = 275 + 1597. Calculate the greatest common factor of 18 and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12432130 (base 6) in base 13?\nAnswer: 114066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**5\/7 + 152*k**4\/7 - 724*k**3\/7 + 1000*k**2\/7 - 426*k\/7 = 0.\nAnswer: 0, 1, 3, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 67058240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 11, 5, 40 in increasing order.\nAnswer: 1, 5, 11, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 25 = -4*s. Let q be (1 - 17)\/(-4) - s. Suppose q*h - 10*h - 63 = 0. List the prime factors of h.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + n**2 + 2*n - 59. Let s(u) = u**2 + u - 1. Let y(z) = -b(z) + 2*s(z). Is y(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-2 + (-1 + (sqrt(432)*-1 - sqrt(432)) + sqrt(432) - (sqrt(432) - (-1*sqrt(432) + -4))))**2.\nAnswer: 504*sqrt(3) + 3941","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -86642 to the nearest 1000.\nAnswer: -87000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 + -0.8. Let p = -5 - -5.3. Put p, 1\/11, h in descending order.\nAnswer: p, 1\/11, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 43, 1, 5 in descending order.\nAnswer: 43, 5, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 198010?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 18*d + 2. Let c be u(1). Let r = c - 10. Suppose 2*y - 4*y - r = 0. Put -2\/11, y, 3\/8 in increasing order.\nAnswer: y, -2\/11, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/185103 and -19\/79128?\nAnswer: 10365768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-8) + 259\/420. Let z = u + 2\/15. Put -4, z, -5 in decreasing order.\nAnswer: z, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 1451, 4, -5 in decreasing order.\nAnswer: 1451, 5, 4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (45\/18 - 3) + (-26)\/(-36)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 + 34. Solve -3*u - c + 5 = u, y*u = 3*c + 17 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -4*u + 3, 0 = 3*u - i + 4*i - 9 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = t + l - 11, -5 = -l. Let s = t - 11. Solve 0 = s*o + 3*d, 4*o + 0*d = d - 16 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 0*k - 36 = x, k = -3*x - 98. Is 18 a factor of 5\/(30\/(-16))*x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-9)\/6*((-39)\/3)\/234)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*z - 33*z - 6*a + 340351 = 0, -3*z - a = -1021104. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1499326 and 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i. Let b(d) = -14*d. Let p be b(-1). Suppose -9*x + 117 = -45. Let u(n) = p*n + x*n - 65*n. Calculate q(u(h)).\nAnswer: -66*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/6930 and 187\/5598810.\nAnswer: 61586910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 11*n + 6. Let j be ((-10)\/(-35) - (-73)\/14) + (-12)\/8. Let l(i) = -11*i - 7. What is j*l(a) + 5*w(a)?\nAnswer: 11*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/6 + 143\/(-78)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7288743 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -1 - -10) + -7 - -9 - -6.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 440348337?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 660?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5259864 to the nearest integer?\nAnswer: 2293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 780476.4um in millimeters?\nAnswer: 780.4764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) 0.09 (c) -2\/11 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 37487400 divided by -25800?\nAnswer: -1453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**2 + 2*u - 2*u + 13*u + 0*u**2 as k*u**2 + y*u + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.178 - -0.078. Let o be ((-4)\/30)\/(26\/(-10)). Sort f, -3, o in increasing order.\nAnswer: -3, f, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45646 - 78*m**3 - 45643 + 11*m**3.\nAnswer: -67*m**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 4*j + 3. Let t(n) = -3*n - 2. Let o(p) = 3*t(p) + 2*w(p). Let x(g) be the third derivative of g**5\/10 + 2*g**2. What is o(x(s))?\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 2 - 1)*(3*u + 382 - 382) - 3*u + u + 0*u + (-4 + 1 + 1)*(2*u + 4 - 4))*(-3 + 2 - 1)*(-14 - 13 - 12) to c + m*u and give m.\nAnswer: -702","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 - 5*t + 4. Let s be v(-5). Suppose 3*u + 1 = 8*u - a, 3*u + 4*a + s = 0. Determine r, given that u - 1\/2*r + 2*r**2 = 0.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1504, 3496, 5984, 8968?\nAnswer: 12448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*i + 114 - 18 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13944 is divided by 536?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32476?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/6 + 5\/3. Suppose -5*q + 5 = -20. What is the third biggest value in c, -0.4, q?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 287080794 a multiple of 3666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(832) + -5 - ((sqrt(832) + (-2 + sqrt(832) - sqrt(832)))**2 + 2) - -3*-5*(4 + (1 + sqrt(832))**2).\nAnswer: -13398 - 200*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*i = 176 + 67 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -261 + 423. Suppose 4*f = o + 72 - 0, -4*f + 72 = 4*o. Calculate the highest common factor of a and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48986.\nAnswer: 2, 7, 3499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kuiyuuyukukuuuyykuuy. Give prob of sequence kuyi.\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c - 1. Let u be ((-30)\/5)\/2 - (-2 - 0). Let d(o) = -o**2 - 6*o - 14. Let m(f) = u*d(f) - l(f). Solve m(x) = 0 for x.\nAnswer: -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47238576 divided by 24.\nAnswer: -1968274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 552 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 7*q**2 - q. Let w(g) = -7*g + 4. Determine p(w(h)).\nAnswer: 343*h**2 - 385*h + 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 4 - -1 - 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -4*v. Let b(g) be the first derivative of -g**3\/6 + 3*g - 1. Let l(n) be the first derivative of b(n). What is l(x(p))?\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 72 and 1.7?\nAnswer: 122.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 5*b = 22, -6*b - 203 + 230 = -w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -32, -60, -88?\n\"Answer: -28*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + b - 2)*(5*b - 2*b + 0*b) - 6*b + 13*b**2 + 6*b.\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 4*m + 83. Let f be g(-9). What is the lowest common multiple of 16*3\/12 + (f - -1) and 50?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.4, 12, 5, -43, -1\/3, -5?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + 36\/(-16))*2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16178 divided by 10.\nAnswer: -8089\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = i + 3*o + 5, 5*i = -2*o - 2. Suppose -2*r - 2 + 26 = i. Calculate the remainder when 17 is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.125 times 2373?\nAnswer: -296.625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*k*v**3 - 18*k + 22*v**2 - 8*v wrt v.\nAnswer: 30*k*v + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/(-7))\/((-11)\/(-22)). Let h be (-15)\/6 + (-1)\/(-2). Let x be ((-2)\/(-6))\/(h\/(-18)). Which is the second biggest value? (a) -1 (b) x (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6976 and 618288.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*a**4 + 13346*a**3 - 177666*a wrt a?\nAnswer: -108*a**2 + 80076*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*f - 336*f = -7616 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -44 + 42. Let l(g) = g**2 + 3*g + 2. Let s be l(n). Let r(u) = u**2 - u**3 + 0*u**3 - 2 - 1. Give r(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(5 + 2*sqrt(448)*2))**2 + (2 + sqrt(448) + -4 - (sqrt(448) - (sqrt(448) - (sqrt(448) + 0 + -4))**2)).\nAnswer: 11520*sqrt(7) + 258962","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 161f1a + 3?\nAnswer: 161f1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5929400813.\nAnswer: 7, 19, 29, 80911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 781731426*w**2 - 642294307*w.\nAnswer: 1563462852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 492272 - 17934*w - 492272 to c + u*w and give u.\nAnswer: -17934","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1349?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*g - 1000 = 66*g. Let h(y) = -y**2 - 7*y - 7. Let c be h(-5). Suppose -c*z = 5 - g. Is z even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 1141*m**2 - m - 1. Let p be b(-1). Suppose p + 119 = 6*h. What is h rounded to the nearest 10?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9322 (base 16) in base 4?\nAnswer: 21030202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mxmx when four letters picked without replacement from mxmxmmmmmmm?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 73, 176, 355, 634?\nAnswer: 1037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39475?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 214290, 856795, 1927636, 3426813?\n\"Answer: 214168*p**2 + p + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 5:52 PM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -3*q**2 - q**2 + 15 - q + 4*q**2 - q**2. Let w be u(0). Solve 5 - w = 2*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6 + (-3 - -20) - 36\/(-4). Solve 288*w + x = 284*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + 13*u**2 + 31*u + 12. Let p be g(-10). Let y(x) = 54*x + 16. Does 24 divide y(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.052? (a) -7 (b) -3 (c) -2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 204 and 77622.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5*s - 44 = 0, 3*s - 9 = -5*f + 19. Let x be ((-3)\/(-2))\/3*0. Solve x*m + f = 2*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 1 - 6*k**2 - 4*k + 11*k**2 - 308*k**3 + 3 + 311*k**3. Let n(w) = 5*w**2 + w**3 - 10*w**3 + 6*w - 19*w**2 - 11 + 5*w. What is -11*f(s) - 4*n(s)?\nAnswer: 3*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 11*d - 10*d + 4610, 6*b = -4*d - 18264. Are d and -4577 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 363 + 606 = 36*m + 33 for m.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) -0.2 (c) 0.033\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 12) in base 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 835769.9525739 - 835770. Let z = p + 0.0474. Round z to six decimal places.\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25764*q**2 - 12887*q**2 - 12879*q**2 - 389.\nAnswer: -2*q**2 - 389","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 178684 and 1054.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -1 - 5*j - j + 5*j. Let o(z) = 7*z + 5 + 0*z - 4*z + z. What is o(n) + 3*p(n)?\nAnswer: n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3082 divided by -1\nAnswer: 3082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1622 divided by 4.\nAnswer: 811\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -19.9, -5, 0.24, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 769?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1200233 (base 4) to base 5\nAnswer: -144231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6116, 12302, 18554, 24872, 31256, 37706, 44222?\nAnswer: 50804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10996 - -15106. What is the smallest common multiple of b and 14?\nAnswer: 28770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8855 plus 21?\nAnswer: 8876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uopuhp. What is prob of picking 2 p, 1 u, and 1 h?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*c**2 + 14*c**2 - 11*c**3 + 11*c**3 - 9*c**6 wrt c.\nAnswer: -1080*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -3\/4 (b) -0.02 (c) 6.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/(-8)*(-12 + (-1476)\/(-135)). Put 4, -4\/3, 1\/2, 4\/69, g in increasing order.\nAnswer: -4\/3, 4\/69, 1\/2, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 475432 is divided by 158473?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (53\/(-424))\/(6\/1212*(-6)\/8).\nAnswer: 101\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*d**3 + (-2*d**2 + 5*d**2 - 4*d**2)*(-12*d + 38*d - 23*d) - d**3 + 3*d**3 + 0*d**3)*(28 + 90 + 73).\nAnswer: -573*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 58\/5. What is the second biggest value in -0.5, m, -3\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4053089316 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 2*t**2 - 9*t + 15. Suppose -392 = -103*g - 83. What is o(g)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000635669112 rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2*(8\/4)\/4*3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 753 a factor of 28450237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o + 8. Suppose 0 = -2*a - 10 - 12. Let r be c(a). Is (-554)\/r - 9\/(-27) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 11:30 AM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*g**2 + 12*g**2 - 23*g**2 - 7*g**2.\nAnswer: -26*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*u - 14*u - 428638 = 0. List the prime factors of u.\nAnswer: 7, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by 25?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + 6 + -25 + (-1 - (2 + -41)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z - 363170*z**2 - z + 363173*z**2.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + p + 21, 4 = 5*f - 5*p - 1. Suppose 4*a = -q + 7, 2*q - 2*a - 4 = -f*a. Let n be 3\/(-6) - -7*45\/(-126). Sort -2, -4, n, q in descending order.\nAnswer: q, -2, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45 - -56) + (-4 - (4 + -17))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hcchycc. Give prob of sequence ccch.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 - 3*n + 7. Let y be l(-5). Let k be (3\/9 + -2)*y. Suppose -4*d = 5*s - 150, s + k*d - 2 = 7. Solve -s = -5*o - 3*q, 2*q = 5*o - 19 - 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 22*z**2 - 7*z - 15. Let w be g(-3). Calculate the highest common divisor of w and 3111.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13192 - 26107 - 3*t**2 + 13172)*(-t**2 + 4*t**2 - 5*t**2).\nAnswer: 6*t**4 - 514*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 62*o - 65*o + 9, 4*y = -2*o - 36 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hg when two letters picked without replacement from {h: 9, g: 10, s: 1}.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-25))\/((-27)\/(-180)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2*a**4 + 54*a**3 - 3\/2*a**2 - 54*a + 0.\nAnswer: 3*a*(a - 1)*(a + 1)*(a + 36)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 9 = 3*c - 61, 0 = 2*c + 3*z - 31. Calculate the greatest common factor of 17 and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s + 22. Let p be v(-9). Suppose p*m + 40 = 8*m. Is m a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 16*t - 43. What are the prime factors of b(12)?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 8*g = -4*z + 30, 0 = 3*g - 6. Suppose -15 = -5*n + z*a, -2*n - 3*a + 9 + 2 = 0. Solve v - n = -1 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.4, 34422, 14, 3 in ascending order.\nAnswer: -0.4, 1, 3, 14, 34422","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -261, -1390, -3315, -6030, -9529?\nAnswer: -13806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of 1 + 7*l + 1\/3*l**3 + 7\/2*l**2. What are the prime factors of h(-8)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12625608 divided by -6\nAnswer: 2104268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5542.2 and 173.\nAnswer: -958800.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6a8 + -33?\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1443 - 1076. What are the prime factors of l?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4*v = 178, -4*t + 4*v - 6*v = -684. Calculate the highest common factor of 10 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21122552 by 7.\nAnswer: -21122552\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/sqrt(7)*-4)\/(1*4*sqrt(5)).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 5:30 PM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pmupxoto. What is prob of sequence mto?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 40\/21?\nAnswer: 40\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yll when three letters picked without replacement from yyyylly.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32*q*w**3 - 3*q*w**2 - 2*q*w + 2*w**3 - 13*w**2 wrt w?\nAnswer: -192*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from seflxix. Give prob of sequence xi.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23.2 + -24.2. What is the nearest to 0.1 in k, -15, -3\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 35 + -11 + (-1 - (-1 - 0)). Find the third derivative of -39*a - 24*a**4 - 28*a**4 + k*a**2 - 16*a - 23*a**2 wrt a.\nAnswer: -1248*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-2*sqrt(171)*4 + (3 + sqrt(171))*2)**2 + -4.\nAnswer: -216*sqrt(19) + 6193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (156\/(-96)*-5)\/(2\/(96\/6))\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*d**5 + 44572*d**4 + 26335428*d**3 + 1651485556*d**2 + 4085292536*d - 1900041312 = 0. Calculate d.\nAnswer: -1079, -68, -3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*k + 32 = -34*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 190 + -128. Solve 68*k = z*k + 30 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1238 equal to -1235?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a hour in seconds?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16052527.\nAnswer: 619, 25933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 208 divide 486\/5103 - (-966670)\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6413.713 + 3.713. Let g = -6409.99997273 - m. Round g to six dps.\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*o**2 + 14*o**2 - 30*o**2 + 4*o**3 in the form d + h*o**3 + p*o**2 + f*o and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*c**2*f**3*g**3 - 2*c**2*f**3 - 7*c*f**3*g**3 - 2*c*f*g + 2*c*g**3 - 2*f**3 wrt c?\nAnswer: 8*f**3*g**3 - 4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20644 divided by -5161.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 455 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 487 equal to -2030?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48, -98, -148, -198, -248, -298?\nAnswer: -348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -3\/2, 1205, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 66523460 to the nearest integer?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m + 18. Determine c(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10776172 and 2948?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/9 or -16\/5?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + -13 + 19 - 18?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257919 is divided by 57.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -735.3 + 735.318152. What is m rounded to four dps?\nAnswer: 0.0182","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 74576.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2698 - 2700. Let w(k) = k**3 + 2*k - 2. Let q(j) = -4*j**3 - 7*j + 7. Give o*q(u) - 7*w(u).\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 2\/1953?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -60406, -60404, -60402?\n\"Answer: 2*l - 60408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/1085 and 47\/2821.\nAnswer: 14105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 minus -243?\nAnswer: 242.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.043245kg in tonnes?\nAnswer: 0.009043245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 - 2*j + 1. Let o be a(1). Let i(w) = -2*w**2 - 10*w - 14. Let f be i(-2). Let m be ((-27)\/(-27) + 2\/4)*f. Put m, 2, o, 0 in descending order.\nAnswer: 2, 0, o, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47 - 20. What is the remainder when d is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2591 - -45588. What is the thousands digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(320) + 2.\nAnswer: 1 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(4\/3)\/f**(-3\/5) assuming f is positive.\nAnswer: f**(29\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 - 19. Suppose 2*v + v - 30 = f. Do v and 10 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-6)\/6*1*13)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7014 - -168311\/24. What is the common denominator of -49\/3 and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k**5 + 15870*k**4 - 143120*k**3 + 365970*k**2 - 238725*k = 0. What is k?\nAnswer: -3183, 0, 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((168\/77)\/(1*7\/11))\/(6\/63)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/5 and -58\/54999537?\nAnswer: 274997685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56240920 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2 + 28 - 19 - 4 - 4. Let g(p) = -p - 1. Calculate 2*g(c) + t(c).\nAnswer: -2*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + -7. Suppose o*c - c - 3*f = 25, 4*c + 4*f - 52 = 0. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(76))**2*1.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25007646 by -6.\nAnswer: -4167941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2 - 317226*k - 317223.\nAnswer: -3*(k + 1)*(k + 105741)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3211 + 11?\nAnswer: 3222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/42 + (-1074)\/(-14). Let h(k) = -k**3 + 3*k**2 + 5*k + 2. Let d be h(5). Let o = d + c. What is the highest common divisor of 6 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 5 (c) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1903064629 to the power of 1\/2, to the nearest integer?\nAnswer: 43624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11350, 11389, 11428?\nAnswer: 11467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-6*(sqrt(72) + 0)*-5*-6*-1)**2.\nAnswer: 2332805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 432*g + 430*g - 10*g**2 - 1281*g + 421*g to p + s*g**2 + b*g and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(6\/(-332))*((-164010)\/(-660))\/(-497).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 + 4*y**2 - 3*y - 2. Let o be k(-4). Let l(h) = -h**3 - 7*h**2 + 2*h + 2. Let u be l(-8). What is the highest common divisor of u and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 11*m + 88 = 7*m, -4*y + 108 = -3*m. Suppose 3*s + 5 = -106. Let z = s + 53. What is the greatest common factor of y and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**5*h**0)\/(h*h**(-1\/6)*h*h**1)*((h**0*h)\/h)\/h**(1\/2)*(h\/(h\/(h\/((h*h**2)\/h))*h))\/(h**(4\/3)\/h) assuming h is positive.\nAnswer: h**(-29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (465\/1023)\/(10\/(-4))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by 8865625\nAnswer: -2\/1773125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -6 - (-10 - (-36 + 15))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -430*c**6 - 152*c**3 + 26*c**3 - 27*c**2 - 103*c**2 + 428*c**6 wrt c.\nAnswer: -240*c**3 - 756","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5160 and 445480.\nAnswer: 1336440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - 9*n + 3. What is a(5)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2 - 10*b - 16*b**2 + 13*b**2 + 8.\nAnswer: 2*(b - 4)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of 11\/60*t**6 + 0 + 0*t**4 + 5*t**3 + 0*t**5 - 6*t**2 + 0*t. Differentiate n(g) wrt g.\nAnswer: 66*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 167, 178, 189, 200, 211?\n\"Answer: 11*g + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.323 times 15?\nAnswer: 94.845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 435947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 13940\/656*3\/20*(-36)\/27?\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -2241*r**4\/4 + 180*r + 2900. Find the first derivative of s(h) wrt h.\nAnswer: -6723*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oqipoboapap. Give prob of picking 1 a and 1 o.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2208 + 2589 - 541 = -134*g - 3516 for g.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.054 - -16618?\nAnswer: 16618.054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37348 + 37352. Sort -2, 9, -24, o in ascending order.\nAnswer: -24, -2, o, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/10? (a) -5\/3 (b) -0.3 (c) -3 (d) -49 (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.171885 months to years.\nAnswer: 1.26432375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seventeen halves of a meter?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5404\/5 - -1082. Factor u*n**2 - 8\/5 + 2\/5*n**3 + 0*n.\nAnswer: 2*(n - 1)*(n + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-132)\/14)\/(64\/9632*-43)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, -94, -143, -194?\nAnswer: -247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 51 (b) -3 (c) 93\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 5*i**2 + 4*i - 14. Let n be c(2). Suppose -n - 7 = -3*y. What is the least common multiple of 2 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 4*z - 1. Let l be b(-3). Let i = l + 2. Let t = i + 37. Does 26 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4\/5 (b) 0 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q = 24*q - 55. Suppose 3*f + 5*i - 19858 = -364, -5*i + 32500 = q*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 51984 or 51995?\nAnswer: 51984","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15\/38 - 1\/190. Let j = -0.34 + 0.28. Let x = -0.16 - j. What is the second smallest value in z, 1\/3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, q: 3, e: 4, u: 1}. What is prob of picking 3 q and 1 u?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19629215 is divided by 108?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/11? (a) -4 (b) 49 (c) 3\/37 (d) 3 (e) -0.4 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2456109 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8222, -8220, -8216, -8210, -8202, -8192?\n\"Answer: z**2 - z - 8222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 2*a + 12, 5*a = 5*o - 5 + 20. Let x be (-4)\/18 + o\/72. Which is smaller: x or 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 17*v**2 + 65*v - 30. Let d be z(-7). Let y = 6.3 + -7. What is the smallest value in -7, d, y?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 + 34. What is the least common multiple of 10 and (-1 - -14) + (-7)\/u?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1254 + -1139. What is the greatest common factor of b and 245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*a**5 - 19*a**4 + a**3 - 9*a**2 + 70*a - 2986 wrt a.\nAnswer: 180*a**3 - 228*a**2 + 6*a - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 5*b - 22 = 0, -5*x + 33*b + 15 = 31*b for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127731362?\nAnswer: 2, 11, 673, 8627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 87716664 and 259210.\nAnswer: 438583320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 265 + -113. Let c = i - 0. Let z be 6\/(-3)*2014\/(-212). Calculate the greatest common factor of c and z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 4*n**2 + 4. Let o be l(-4). Suppose 5*q - 20 = 5*d - d, -o*d - 5*q = -20. Factor 0*v + 1\/5*v**2 + 3\/5*v**5 + 1\/5*v**3 - v**4 + d.\nAnswer: v**2*(v - 1)**2*(3*v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 1 + 14. Suppose -2*w - 2*w = x - 11, 2*w = -f*x + 13. Let m = -4167 - -4173. Solve -5*l + x*l - 3 = 5*n, 0 = -5*n + l - m for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 8 = -4*h, -4*i + 0*h + 6 = 2*h. Suppose s = -i*s + 99. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -1. Let n(g) = -5*g - 4. Let c(j) = 3*j + 2. Let r(f) = -11*c(f) - 6*n(f). Give -4*a(q) - r(q).\nAnswer: 3*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03739 to three dps.\nAnswer: -0.037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 401374?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 286998 is divided by 765?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a decade in months?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0 + -2 - ((-28679)\/63 - 4\/(-18)).\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 46, 110, 228, 418, 698, 1086, 1600?\nAnswer: 2258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 13*b**2 + 2*b - 2. Let r(o) = -20*o**2 - 3*o + 3. Let k(l) = -7*g(l) - 5*r(l). Suppose -236*j + 403 = 10*j + 157*j. Determine k(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -776223 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 2*r. Suppose r = m + 1, 4 - 34 = -4*p + 2*m. Suppose z - p*k - 37 = -3*k, -5*z = 2*k - 185. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 574.472 and 1145493.\nAnswer: 1146067.472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -133 - -140. Let d(y) = -24*y**2 - 12*y - 3. Let l(k) = 49*k**2 + 23*k + 7. Let a(t) = g*d(t) + 3*l(t). What is the second derivative of a(n) wrt n?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3811?\nAnswer: 37, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -20011 (base 5) to base 15\nAnswer: -58b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005530015 to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3215*l - 3302*l + 6390 = -6375*l for l.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 15, 0.2, 5\/6, 9, -4160\/19?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12449 to the power of 1\/2, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -260819 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -90161 and 5?\nAnswer: -450805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -896, -1015, -1138, -1265, -1396, -1531?\nAnswer: -1670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((7 - 0) + -2)*2. Suppose 0 = -3*f + m + 38. Let g = 22 - f. Solve 0 = -h + g*h - 15 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1126.057499 rounded to the nearest ten?\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002160113 rounded to 7 dps?\nAnswer: -0.0000216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3723520321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.246973 to two decimal places.\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 11:09 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 37598.14 millennia?\nAnswer: 451177680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -82 by -7.\nAnswer: 82\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 8:55 AM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -111261*k**2*y**2 + k*y**2 + 2*k*y - 474*k - 4 wrt k?\nAnswer: -222522*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**5 + g**5 + 2*g**5 + (2*g**4 + 2*g**4 - 7*g**4)*(g + 4*g - 3*g) - 3*g**5 - 3*g**5 + 2*g**5 + (0 + 0 + 2*g**2)*(0*g**3 - g**3 + 3*g**3).\nAnswer: -4*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-3))\/(20\/18)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 316830565 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 + -9289.9093384.\nAnswer: -9289.5093384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, x: 4, q: 3, h: 6}. What is prob of sequence xtqt?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of j**5\/20 + 3*j**4\/4 - j**3\/6 - j**2\/2 + j + 1. Let z(v) be the first derivative of n(v). What is the units digit of z(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15136 - -39684. What is the ten thousands digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26313081.\nAnswer: 3, 19, 23, 20071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and 95414.\nAnswer: 95414.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/27807?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2*r = 12 - 4, -r = -g + 2. Suppose t = -5*i + 3, 3 = g*t + i - 3. Suppose -3*x = -t, -14 = -3*u - 3*x + 4. Solve 3*s + 4 = -u for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 + 28. Suppose -4*q + 12 = 0, -2*q = -g*m + 10 + 64. Let a be 368\/36 - 2\/9. Calculate the greatest common factor of a and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 11, l: 4, n: 2, z: 1, b: 1}. What is prob of sequence qqnb?\nAnswer: 55\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 63000 to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nhunhhhxxux. Give prob of sequence hu.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 712975?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 344*l**6 + 239*l**2.\nAnswer: 41280*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37785591 to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -5*o**3 - 6*o**2 + 6*o - 9. Let r(w) = 6*w**3 + 7*w**2 - 7*w + 10. Determine 7*q(u) + 6*r(u).\nAnswer: u**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((-2 + sqrt(891) - sqrt(891)) + 0))**2 + -3 + -1 + sqrt(704) + (0 + sqrt(704) + 0 - sqrt(704)).\nAnswer: 8*sqrt(11) + 140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 + 1)*(-27 - 14 + 40 - 11*v).\nAnswer: -66*v - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 35 = 3*a + d, 0 = -4*a - 4*d - 36. Let y = 0.03 + -0.03. Let f be (-50)\/(-35) - 16\/21. What is the closest to f in -3, y, a?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, 4, 36, 104, 220?\nAnswer: 396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 - 85 = -14*o. Solve 4*r = -o*r - 6 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56)\/sqrt(4))\/sqrt(2) + 1 + sqrt(112) - (3 + (4*sqrt(63))**2)) + -5.\nAnswer: -1015 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -234 + 236. What is the smallest value in 6, a, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29434631 is divided by 1212.\nAnswer: 1211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.136 less than -180037?\nAnswer: -180037.136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 158 - 159. Let v(t) = -37*t**3 - 4*t**2 - 4*t - 1. Let y be v(l). What is the highest common divisor of y and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 6, -5, -4 in ascending order.\nAnswer: -5, -4, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 1:57 PM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 4*i - 36 = 0, -44*i + 39*i = 3*d + 32 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 14772200 to the nearest 100000.\nAnswer: 14800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 7:06 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 163 + -45. Calculate the remainder when b is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 + 7*x - 3. Let i be j(-9). Suppose n + l - 2 = 0, -l = 5*n - 2*l - 40. Let f = n + i. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 26 = 2*t, -2*t - 38 + 1 + 8 = -4*n - n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*b**4 - 27*b**4 + 32*b**4 + (2*b**3 - 2*b**2 + 2*b**2)*(1 - 1 - b).\nAnswer: -14*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -10 + k**2 + k**2 + 4*k + 5 + 2. Suppose -16 = 5*a + 4. Calculate q(a).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 + 7*s - 8. Let u be p(4). Let t be ((-40)\/(-12))\/(-10)*30\/(-2). Suppose -u*q = -t*q. Solve -m + 6*m = q for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = -4*c - 3*t, c = 18957*t - 18955*t + 1 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36 or 41?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 380 is divided by 36?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 12 and -5705876.\nAnswer: -5705864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55) - sqrt(385)\/(sqrt(42)\/sqrt(6)))\/(sqrt(35)\/sqrt(7)*6))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*t + 8 = 233. Let y(q) = 4*q**2 - 5*q + 10. Calculate y(t).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a second in milliseconds?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8629?\nAnswer: 8629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - -1)*(-4)\/(-6). Suppose -22 = -0*p - 2*p. Let a = 13 - p. Solve -8 = -k*b - a*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 763776 (base 8) to base 11\nAnswer: 165376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 - 7*b + 9. Determine u(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.3535 * -12.\nAnswer: 16.242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 11*k**2 - 2*k - 12. Let f be (-2 + -1)\/((-4)\/(-4)). What are the prime factors of l(f)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 - -33. Suppose 5*w + x = 38, f = -w + 4*w + 4*x. Calculate the least common multiple of 2 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 794 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 7*h = 40. Let q = h + -36. Suppose 12*m = 75 + 117. Calculate the least common multiple of q and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011001010001110 (base 2) in base 5?\nAnswer: 2430320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -6, -4*g + 13*v = 16*v - 6. Put 0, 9, g in decreasing order.\nAnswer: 9, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/8*(-408)\/510.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 11517, 12133, 12737, 13323, 13885, 14417?\n\"Answer: -o**3 + 623*o + 10895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -97 - -146. Suppose 3*k - l = 32. Suppose -6*n - 3 = k. Sort -1, 5, n in ascending order.\nAnswer: n, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661289 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 14*o. Let h(i) = 4*i**2 - 33. What is f(h(a))?\nAnswer: 56*a**2 - 462","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2182.\nAnswer: 2, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 67702799 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2653 is divided by 47.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 621170.9 millilitres in litres?\nAnswer: 621.1709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 672, -4, -2\/19?\nAnswer: 672","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-15)\/((-525)\/(-14)) - 21\/(-15). Solve 1 = -9*s + j for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -46478 by -23239.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1545 + 669 + 461)*(-1 + 2 - 2)*(0*x + x - 3*x)*(1 - 2 + 0) to t + y*x and give y.\nAnswer: -5350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63394390?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63815.\nAnswer: 5, 12763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -19391, -19380, -19369?\n\"Answer: 11*o - 19402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -10*(-1)\/(4\/(-2)). Let f be -1 + (1 - a\/(-1)). Let z = f + 0. Sort z, -0.3, -1 in decreasing order.\nAnswer: -0.3, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + v + 68 = 0. Suppose 0 = -k + 3*q - 2*q + 31, 2*k - 48 = -5*q. Let y = k - 20. Calculate the remainder when v is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 r when two letters picked without replacement from xrmxifb.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 5*f - 1 - 73, 3*f + 12 = 0. Suppose -3*q - d = -5*q. Let g(m) = 3*m + 0*m + 7 - 7 - q. Give g(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 694415\/3 equal to 231472?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10332 + -30?\nAnswer: 10302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-7\/5)\/c**3)**(4\/3) assuming c is positive.\nAnswer: c**(-88\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + 11*w**2 + 26. Let h be q(11). What is the greatest common factor of 39 and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 760 and -18763320.\nAnswer: -18762560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(91)*2)\/(sqrt(112)\/sqrt(4)).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 7*j**2 + 8*j + 13. Let m be t(-6). Sort 0, 2, m, 4.\nAnswer: 0, m, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -34*t**2 + 3*t + 4. Let j(c) = -69*c**2 + 7*c + 9. Let d(b) = -7*f(b) + 3*j(b). Let z = -11 + 10. Does 14 divide d(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26504137 to the nearest integer?\nAnswer: 5148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*a + 19 = -3*c - 91*a, -5*a - 56 = 4*c for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.4 - -0.3. Let q = 0.5 + i. Which is the closest to 2\/3? (a) 4 (b) 2\/9 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 - 171 = -5*l. What are the prime factors of l?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**2 + 2*o**2 - 2*o**4 + (1 - 1 - 2*o**3)*(6*o + 2*o + o).\nAnswer: -20*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 28*d - 186. Give b(5).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4137, -16571, -37297, -66315, -103625, -149227, -203121?\nAnswer: -265307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -10. Let l(g) = j + 1 - 3. Let y(u) be the first derivative of u**2\/2 + 3*u + 14. Determine -3*l(i) + y(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 65 (base 13) to base 15\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(((-84)\/16)\/7). Put -1, b, -3, -5 in increasing order.\nAnswer: -5, -3, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of -k**3\/3 + 7*k**2\/2 + k - 135. Give i(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7 (b) -1 (c) 190\/207\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -6, -5, 17?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 819\/928 or 2?\nAnswer: 819\/928","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3271, 6563, 9901, 13309, 16811, 20431, 24193?\n\"Answer: 4*p**3 - p**2 + 3267*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 0, q - 4*q - 28 = -4*g. Let h(m) = m**2 - 6*m + 7. What is the remainder when 53 is divided by h(g)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(((-41)\/(-246))\/(1\/39))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/54)\/((-5)\/(-75)*1*2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + 3. Let j(w) = -8*w**2 - 14*w. Let t(v) = -27*v + 41*v**2 - 93*v**2 + 37*v**2. Let z(i) = r*t(i) - 11*j(i). Determine d so that z(d) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 35 = -9*l + 4*l, -3*l = 4*f - 30. Suppose 10*o - f = 7*o. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 99*d**5 + 9*d**3 + 8541*d**2?\nAnswer: 5940*d**2 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -365880 divided by 2.\nAnswer: -182940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of -u**5\/20 - u**4\/6 + u**3\/3 + u**2 + 4*u. Let t be j(-2). Sort 3, -1, t in ascending order.\nAnswer: t, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 16) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.679217l in millilitres?\nAnswer: 2679.217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of j**7\/14 - 13*j**4\/12 + 11*j**2 - 10. Let m(v) be the second derivative of y(v). What is the second derivative of m(s) wrt s?\nAnswer: 180*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbvllllvl. What is prob of sequence llb?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 970079 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 48, 71?\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2605.\nAnswer: 5, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 579353.6 litres to millilitres.\nAnswer: 579353600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2388435 divided by -2415\nAnswer: 989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - (0 + 17 + -9)) + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.0308 + 0.0308. Which is the nearest to -1\/9? (a) y (b) 1\/3 (c) 4 (d) -2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + -2 - (-80 + (55 - 90)).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 18*r**2 + 16*r - 55. What is v(-19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3 + 118*c**2 + 1798*c + 1682.\nAnswer: 2*(c + 1)*(c + 29)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -222 (b) 5 (c) -0.5 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -9 - ((-122 - -122) + (2 - 11)). Which is the fourth smallest value? (a) -65 (b) g (c) 0.5 (d) 1 (e) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 4*j**2. Let r(p) = -p**2. Calculate r(h(q)).\nAnswer: -16*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-50)\/(-15))\/((-6)\/9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*r + 21*r + 105. Suppose -4*h = 5*o + 37, 0 = 4*h - 5*o - 3 - 10. Which is the fourth smallest value? (a) -1\/2 (b) r (c) -0.4 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 13 = 7 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -7*g**3 + 2*g**2 + 2*g - 3. Let m(i) = 21*i**3 - 7*i**2 - 7*i + 8. Let a = -8306 - -8313. Give a*w(f) + 2*m(f).\nAnswer: -7*f**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 9588768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1950918, -3901596, -5852274, -7802952, -9753630, -11704308?\nAnswer: -13654986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.043651 to 1 dp.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4*(1 + -2*sqrt(833) + sqrt(833)) - ((sqrt(833) - (sqrt(833) + 5*(sqrt(833) - (sqrt(833) + 0)))) + 5*(sqrt(833) + -1*sqrt(833))))**2.\nAnswer: -53376 + 896*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46 - 163. Let a = n + 116.99999943. What is a rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a century in years?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 364906757?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 2\/15, -4, -0.3, -51?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of w**6\/120 + w**5\/10 - w**4\/12 - 3*w**3\/2 + 22*w**2. What is the tens digit of g(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-15) + (-1068)\/90. Let h = -5 - g. What is the derivative of -h*k**4 - 3 + 38*k**3 - 38*k**3 wrt k?\nAnswer: -28*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oohoohooososo. What is prob of picking 2 o?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-5)\/h)\/(h\/(h*h\/h**2*h*h)))\/(h**(-1)*h**5))**(-2) assuming h is positive.\nAnswer: h**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e292 - -1?\nAnswer: e293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a gram in milligrams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/4)\/(i\/(i\/i**12)))**(5\/4) assuming i is positive.\nAnswer: i**(-235\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3840 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -1815*i + 7. Let z(t) = 1826*t - 6. Determine 6*g(b) + 7*z(b).\nAnswer: 1892*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4*((-3)\/12 - 2). Suppose -j = -q - 2*a, 2*q - 7 = a - 4. Sort 0, 4, q in descending order.\nAnswer: 4, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 20*q - 3. What is the tens digit of o(-22)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -2*q - 4, -84 + 60 = 2*q + 3*m. Let t(f) = -f**2 + 18. Determine t(q).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3*g + 23. Let j be t(16). Let h = -40 + j. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 239 a factor of 142922?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 53*y. Let g(x) = -179032*x**2. Determine o(g(b)).\nAnswer: -9488696*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1557*g + 1553*g + 16. Let r(d) = -137 - 7*d + 7*d**2 + 137. Let n be r(g). What is the highest common divisor of n and 126?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4179272 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30279664, -30279667, -30279670?\nAnswer: -30279673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-130)\/52 + 1\/2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 355024430?\nAnswer: 2, 5, 17, 233, 8963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*x = -2091, 3*d - 3*x - 2118 = 1056. Let q(s) = -254*s + 21. Let r be q(-5). Suppose -8*p + d = -r. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 4*w + 24554, -w - 3*w = -5*m + 40934. Does 146 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2965701*a**5 + 4886204*a**2.\nAnswer: 177942060*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 (base 10) in base 4?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h - 3*q + 6*q + 9, h + 2*q + 2 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 15*m. Let n(x) = 9 - 15 + 6 + 3*x. Determine 24*n(b) - 5*s(b).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -259 + 337. Let z(j) = -2*j**2 - 25*j + 1. Let u be z(-6). Which is smaller: u or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8809.11 rounded to the nearest one hundred?\nAnswer: 8800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 11:26 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 21783.43 rounded to the nearest 1000?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7204922 a multiple of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t - 8. Let a be 0 + -2 - (-34 + 2). Suppose 2*x - 38 = -5*g, 3*g - 6*x = -9*x + a. Let w(v) = -1. Give g*w(m) - h(m).\nAnswer: m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 10:55 AM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(2\/3)\/((d\/d**(1\/7))\/d)*(d\/(d\/(d*d\/(((d\/((d*d**(-15)*d*d)\/d))\/d)\/d)))*d)**(1\/30) assuming d is positive.\nAnswer: d**(107\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1723 - -12069\/7. Factor 2\/7*u + 2\/7 - 2\/7*u**3 + 16\/7*u**4 - n*u**5 - 10\/7*u**2.\nAnswer: -2*(u - 1)**3*(2*u + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((6*sqrt(70)*-2)\/(sqrt(90)*-2))**2 + (5*sqrt(84)\/sqrt(2))\/((-2*sqrt(72))\/sqrt(12)) + 0.\nAnswer: -5*sqrt(7)\/2 + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**5 + 24*w**4 - 88*w**3 + 140*w**2 - 102*w + 28 = 0 for w.\nAnswer: 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g + 128. Give l(41).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 1 + 2)*(-5*f - f + 3*f) + 6*f + 0*f + 14*f + 23 - 23 + 6*f + (-4*f + 0*f + 3*f)*(3 - 3 + 1) in the form l + y*f and give y.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 134815071*i**2 - 265840796*i.\nAnswer: 269630142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-6) + 3 - 0?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -965*s - 2. Let c(y) = 25*y. Calculate c(n(l)).\nAnswer: -24125*l - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6 - -4) + 10 + 1. Let q(r) = -3*r - n + 0*r + 4*r + 0*r. Let i be q(14). Let l(c) = -c**2 + 3*c + 7. What is l(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39*j + 16*j - 60*j)*(-j**3 + 2*j**3 - 4*j**3)*(4 - 2 + 0).\nAnswer: 498*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-18) - 1337\/63. Let d = 45 + h. Does 7 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of 37*j**6\/5 + 185*j**3\/6 + 30*j + 2. What is the second derivative of a(q) wrt q?\nAnswer: 2664*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 2*y**2 + 2*y + 1. Let u be s(-2). Suppose m = -m + 14. Solve 2 = -w, -4*z + m*z = w - u for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4506 is divided by 37.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 6*r + 4. Suppose -2*z + 3*x = -15, -5*z = x - 5*x - 27. Give v(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**3 - 7*v**2 + 7*v + 18. Let d be u(-4). Solve 4*c = -d*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 116 = -3*u, 0 = -5*u + 606*n - 603*n - 90 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 118 + -67. What is the remainder when u is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 32 = -2*i - 6, 0 = t - 5*i - 31. Let v be t*3\/30 - 2. Which is the nearest to 2? (a) 0.2 (b) 0 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mmmmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -16. Suppose -m = -5*m - b, m + 25 = c. Calculate the greatest common divisor of c and 138.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 4*i + 6. Suppose -c = 2*l + 4, c - 5*l = -8*l - 5. Let h(s) = s**2 + s - 1. Let t(b) = c*u(b) - 4*h(b). Let t(p) = 0. What is p?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*v - 9 = 0, 0 = -0*r - 5*r - v. Let b = r + 1. What is the remainder when 29 is divided by 1 + -5 + b + 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**5 - 1726*g**4 - 135854*g**3 + 423142*g**2 - 6928*g - 564200 = 0. What is g?\nAnswer: -775, -91, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3904 - 5616 = -34*o. What is the remainder when o is divided by 123?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 + 9*y + 7. Let a(z) be the first derivative of 3*z**2\/2 + 2*z - 4. Let m be a(2). Is f(m) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 2 + -3 + -15 + 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -65011.7 + 65012.075017. Let m = 28.004883 + v. Let y = m - 28.4. What is y rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**3 + 223536*y**2 = 0. Calculate y.\nAnswer: -55884, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -7*a + 154. Let r be h(22). What is the smallest value in 46, -1\/9, r?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.308897ns in hours?\nAnswer: 0.0000000000153635825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 2*y - 6 = 0, y - 6195 = 2*q - 6210 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(1*(-4)\/(-2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 9*m**2 - 6*m - 1. Let i(y) = -17*y**2 + 11*y + 2. Determine 11*g(z) + 6*i(z).\nAnswer: -3*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192025 is divided by 69?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 184.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 953*l**2 - 32*l - 9. Let m(t) = 477*t**2 - 17*t - 5. Let n(o) = 9*m(o) - 5*v(o). Let i(z) = -2*z**2. Calculate n(i(x)).\nAnswer: -1888*x**4 - 14*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 3) to base 2\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.83, 4, 0.017.\nAnswer: -2.83, 0.017, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -1 and -3262379060.\nAnswer: -3262379061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 39*i**3 + 15*i**2 + 100*i + 718. Give h(-6).\nAnswer: -7766","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -977, -1268, -1877, -2906, -4457?\nAnswer: -6632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -134, -108, -162, -284, -462, -684?\n\"Answer: 2*j**3 - 52*j**2 + 168*j - 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of -u**5\/20 - 3*u**4\/4 + 7*u**3\/6 + 15*u**2\/2 - 17*u. What are the prime factors of v(-10)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/366*(-76)\/114*6?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 166 + 46 = 0. Let y = -19 - i. Let k = -349 - -454. Calculate the greatest common factor of k and y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 15*u + 5 + (-2*u - u + 2*u)*(4 + 1 - 3) - u - 8*u + 2*u as w*u + b and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 0 + 35\/(-40))\/(24970\/(-2357168))?\nAnswer: -59\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13 - 714*p - 158*p + 3642*p**2 + 829*p**2 + 11 wrt p?\nAnswer: 8942","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74313 is divided by 332.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 42\/(-9) + (-68)\/6?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 45*n**3 + 2*n**2 - 4*n + 2. What is the lowest common multiple of b(1) and 99?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 7*r - 3*n + 7, -5*r - 12*n = -27*n + 17*n + 20 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 0.1 (c) -363 (d) -0.119 (e) 1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*g - 4*g**3 + 6*g + (-2*g**2 + 0*g + 0*g)*(2*g - 4*g - g) in the form j*g**2 + h*g**3 + r + f*g and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 2\/5 (c) -2\/12835 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22120221020 (base 3) to base 7.\nAnswer: -1302642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 3*h - 15. Let s be (2\/4 + 1)*2. Put s, h, 4 in descending order.\nAnswer: h, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2 - 48*i + 128.\nAnswer: 4*(i - 8)*(i - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1349 = 5*u + 34. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 531 by -1217.\nAnswer: -531\/1217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51224453?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -726546, -726561, -726576?\n\"Answer: -15*a - 726531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17896 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + -2)*5\/10. Let a be k - (-25)\/5 - -6. What is j in -2*j**3 - 33*j**2 + 10*j**4 - 16*j**2 + 5*j**5 - 18*j**3 + a*j**2 = 0?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 3*q**2 + 154*q - 596. Suppose 0 = -0*k - k - 5*d + 31, 2*k - d = 7. Suppose 0 = -k*n + n + 130. What is the remainder when u(4) is divided by n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 19. Let l be (2\/g)\/((-6)\/84). Sort -1, l, -8 in descending order.\nAnswer: l, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 35 = -h, 2*l = 2*h - 51 - 51. Suppose h*d = 61*d - 252. What is the highest common factor of 210 and d?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 PM and 2:46 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - 25*i - 1. Let x be f(23). Let u = 95\/2 + x. Which is the nearest to u? (a) -4\/7 (b) 0.6 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -7. Let d(u) = -u + 0*u - 3*u + 1 - h*u. Let i be (-4 + -4)\/(-2) - (-1 - -4). Determine d(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 5 + 3*n**2 + (-1 + 1 + n)*(n - 3*n + 0*n) - 151*n**2 - 117*n**2 + 32*n**2 + 2 + 2*n**2 - 2.\nAnswer: -233*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4381 (base 9) in base 4?\nAnswer: 302200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(2 - 3 + 9)*(-3*f**3 - 18*f**3 + 13*f**3 + 5*f).\nAnswer: 64*f**3 - 40*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d**3 + 16*d**2 - 11*d - 6. Let x be f(6). Suppose 9*q - q - x = 0. Calculate the greatest common divisor of q and 90.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 5730037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 8 + 1207618*y - 1207618*y + 1349*y**2.\nAnswer: 1349*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -4207?\nAnswer: -1\/4207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -234*c = -3*v - 115*c - 117*c - 72, -25*v = c + 600 for v.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 4260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -13 - 1e?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + 16*f + 163. Let j be k(-7). Solve 5*c = 5*l, 4*c = j*c + 4*l - 8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83, 96, 111, 122, 123, 108, 71?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 12:30 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5b31a (base 14) to base 13.\nAnswer: -7a5a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + k**2 + 15. Calculate y(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 111 and 128168?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1659*o = -1655*o - 24 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -51 + 88. Let l = -34 + t. Is l\/9 + ((-1878)\/(-9) - -1) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68663573 + -988670?\nAnswer: -69652243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/40 and 72\/385.\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*m**3*v**2 - 2*m**2*v**3 + 94*m*v + 167*v**3 with respect to m.\nAnswer: -6*m**2*v**2 - 4*m*v**3 + 94*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5038 is divided by 718.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1113 * -416483\nAnswer: 463545579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 4605001.\nAnswer: -4605001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/196*(9\/6)\/(8\/48)?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of 1\/2*h**3 + 0*h**2 + 0*h**4 + 0 + 3\/20*h**5 - h. Find the second derivative of y(c) wrt c.\nAnswer: 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 48 = 3*o, 2*q + 3*o - 2*o - 37 = 0. Let d be (8\/6)\/((-6)\/(-99)). What is the remainder when q is divided by (d\/6)\/((-3)\/(-9))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(800) + -4 + -2)**2 + -2 + 4).\nAnswer: -1200*sqrt(2) + 4190","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -7*m**3 + 26*m**2 + 91*m + 9. Give g(-8).\nAnswer: 4529","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1239067*w**3 - 697681.\nAnswer: -3717201*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.48 plus -4502?\nAnswer: -4483.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6787695 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 36 - (-57 - -128).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 1. Let y(j) = 5*j + 11. Let h(p) = 4*o(p) - y(p). Let d be h(-5). What is the tens digit of 220\/d + 4\/(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.146237 to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - 2553 - (2 - 5\/(-5)). Let t = n + 3738. List the prime factors of t.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -0.101, 88\/5, 0.1, -4?\nAnswer: -0.101","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1.5*-0.2\nAnswer: -0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/4 of a meter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l + 2. Let n be g(-7). What is the second derivative of 10*h**3 - n*h**3 + 20*h**3 + 5*h wrt h?\nAnswer: 84*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1789, -3443, -5097, -6751, -8405, -10059?\nAnswer: -11713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/((-12012)\/(-24)))\/(63\/(-1617)*7)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**2 + 11*i + 8. Let h = -52 + 44. Is 24 a factor of x(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 51*t - 514. Let n be f(9). Suppose 4*k - 2*y - 240 = 0, 3*y - 25 - 264 = -5*k. Let v = n + k. What is the smallest common multiple of 4 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -166178979.3 to the nearest 1000000.\nAnswer: -166000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + 6*s**2. Let v(b) = 2*b**3 + 7*b**2. Let g(a) = 2*r(a) - 3*v(a). Find the third derivative of g(y) wrt y.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 4008 = 4*b + 4*g, -4*g - 992 = -b. Calculate the remainder when b is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/3*l**2 + 0 - 1\/3*l**4 - 1\/3*l**5 + 0*l + 1\/3*l**3 = 0 for l.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 331802 = -29\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-66)\/(-165) - (-38)\/5. Solve -t*k - 59 = -67 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1150186 at least as big as 46\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/154561944 and 143\/3126.\nAnswer: 154561944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -299717 by -9.\nAnswer: 299717\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45 - -43. Let f be y\/9 - (-747)\/81. Is f at most 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 190 and 3154?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1120 is divided by 161.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -3b2774b?\nAnswer: -3b2774b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6431542 by 221.\nAnswer: -29102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1477882, -5911519, -13300914, -23646067, -36946978, -53203647?\nAnswer: -72416074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -64\/116907 and -5\/1026?\nAnswer: 2104326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2*5\/(-10))\/((-3)\/84). Let x(h) = -h**3 + 29*h**2 - 14*h - 27. What is the remainder when x(w) is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/2376 and 115\/19176?\nAnswer: 1898424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3 + (sqrt(539) + -2 + sqrt(539) + 1 + sqrt(539) + 2)*5)**2*-3.\nAnswer: 5040*sqrt(11) + 364017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 12 = -4*j, -3*u + 16*j = 8*j - 24. Let n = 2 - -3. Solve -n = -u*b + 5*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from -662508.\nAnswer: -662513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -3 - 1 - 28\/((-49)\/(-7))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2 = -3. Let y be -3 + o - (-17 + 3\/(-3)). Calculate the highest common factor of 624 and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-78380)\/(-70) + 8\/28. Is q\/5 - (-4 + 3) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000118029 to seven dps.\nAnswer: 0.0000118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 8) in base 15?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 4*i - 2*i = 86, 3*d - 84 = 5*i. Calculate the greatest common factor of d and 207.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -4, 4, 16, 32, 52?\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(9\/5)*n*n*n*n)\/(n\/(n*n*n\/(n*n**1\/n))) assuming n is positive.\nAnswer: n**(34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 - 8*n - 3. Let z be 1*-2 + -7 + 3. What is m(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + 13*s**2 + 12*s + 35. Determine a(14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j. Let l(y) = -y**2 - 5*y + 5. Let u be l(-5). Let a(n) = -u*n + 0*n + 0*n. Give a(c(m)).\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -3. Let a(g) = 0 + 4*g**2 + n*g - 3*g**2 + 2 + 0*g**2. Let o be a(-6). Solve 4*q - 2*q - z + o = 0, z = -3*q - 7 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 173*q**6 - q**5 + 51*q**2 wrt q.\nAnswer: 20760*q**3 - 60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5039*k**2*s**2 + 150*k**2*s + 206*k - 1087715680*s**2 wrt k.\nAnswer: -10078*k*s**2 + 300*k*s + 206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 570?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -w**3 + 3*w**2 + 24*w + 28 = 0.\nAnswer: -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b - 1. Let n be -1*1*(-2)\/((-40)\/(-100)). Calculate a(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -92.6 - -154. Let g = -132.2 + r. Let o = 71 + g. What is the smallest value in 0.4, o, 0.8?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 492, 2040, 4626, 8250?\nAnswer: 12912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -3306*n. Let k(q) = -2625*q. Calculate k(b(m)).\nAnswer: 8678250*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -26524167.\nAnswer: 106096668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-7)\/(-5))\/(-31*6\/(-15)) and -23\/12?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q + 20 = 16*q. Solve 0 = -b + q*c - 6 + 2, 3 = -4*b + 3*c for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 27, 24, 27, 42, 75?\n\"Answer: q**3 - 3*q**2 - q + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 105 + -50. Calculate the remainder when p is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1406, 5625, 12654, 22493?\n\"Answer: 1405*i**2 + 4*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1021*k**4 - 6*k - 72 wrt k.\nAnswer: -12252*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 14a (base 14) to base 13\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 309 = 2*a - 5*c, -6*c = 4*a - 3*c - 553. Is 143 not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102\/(-3) - (20\/(-280)*0)\/(-1).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -295*j**2 - 408*j\/7 + 1\/7 = 0. Calculate j.\nAnswer: -1\/5, 1\/413","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*g**3 + 24*g**3 + 42*g**3 - 90*g**3.\nAnswer: -10*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + (-2)\/(-2) - 0. Let n(s) = -6*s + 1 + f*s + 2. Let k = -20 - -25. Give n(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6.726 - 0.026. Let u = a - 6.7000092. What is u rounded to 6 decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c**3 - 8*c**2 - 6*c + 6. Let i(g) = g**3 + 7*g**2 + 5*g - 6. Let f(s) = 3*i(s) + 2*x(s). Calculate f(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/689 and 101\/1378.\nAnswer: 1378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 0. Suppose 0*c - u*c + 71 = m, -c - 3*m = -38. Suppose -18 + 7 = 2*o - 5*b, 3*o - 26 = -b. Calculate the greatest common divisor of c and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5444*s**3 + 5799*s**2 wrt s?\nAnswer: 32664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04115262 rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = b - 70. Suppose 5*v - 488 = -3*t, -b*v - 3*t + 92 + 105 = 0. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7696904 by -2.\nAnswer: 3848452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 4*l - 12. Let b be a(4). Let j(q) = -q**2 - 1. Determine j(b).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -74 - -120. Let c = y - 40. Let z(u) = -u**2 + 3*u + 5. Let g be z(5). Put g, c, -1 in ascending order.\nAnswer: g, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1457669829?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39\/20 - 41\/80. Let f = 2\/4599 - 381737\/45990. What is the common denominator of x and f?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 - 2*t**2 + t**2)*((-3 + 1 + 0)*(0*t**2 + 0*t**2 - t**2) - 2*t**2 + 0*t**2 - 4*t**2).\nAnswer: -4*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111 - 54*z + 7*z + 23*z - 79 + 22*z.\nAnswer: -2*z - 190","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -4*f, 6552*b = 5*f + 6556*b - 1 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 37 + 29 = 0. Let z(u) = -u**3 - 2*u**2 + 4. Let s(a) be the first derivative of a**4\/4 + a**3 - a**2\/2 - 5*a + 1. What is t*s(q) + 3*z(q)?\nAnswer: -q**3 - 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (28 - 2 - 7) + -1?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of 12*r**3 + r**2\/2 + 47. Let w(z) = 2*z**2. What is w(q(u))?\nAnswer: 2592*u**4 + 144*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -127.91 to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/39, 6, -2, 126 in descending order.\nAnswer: 126, 6, 2\/39, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5 = -8. Let t(y) = y + 2. Let d(w) = -w - 3. Determine o*d(u) - 4*t(u).\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 9719, 10357, 10995, 11633, 12271, 12909?\n\"Answer: 638*o + 9081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 11:30 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 33, 42, 51, 60, 69?\n\"Answer: 9*j + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 431 > -0.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42196 and 616?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 2. Let k be (2 + 56)*(r - -6). Let b be 2\/3 + k\/9. Solve -5*o = -m + b, 5*m - 3*o - 1 = 11 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 4*y**3 + y**2 - 1. Let i(v) = -4*v**3 - 2*v**2 + 1. Determine -2*a(s) - 3*i(s).\nAnswer: 4*s**3 + 4*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -2\/9, 2, 0, -2\/29?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(3\/7))**(-14)*(y\/((y\/y**1)\/y))**46)**28 assuming y is positive.\nAnswer: y**2408","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 49, -21, 12\/37?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1481\/292 - (-16 - 55\/(-5))\/(-1). Is z smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c*c\/c**3)))**(-43)*c**(3\/4)\/c**(-2\/3) assuming c is positive.\nAnswer: c**(533\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1762, 3525, 5288, 7051, 8814?\n\"Answer: 1763*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i**2*w*x*z - 4*i**2*x - 20*i**2*z + 2*i**2 - 2*i*w*x*z - 4*i*w*z + i*w - i*x wrt i.\nAnswer: -4*w*x*z - 8*x - 40*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/336599?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65, 133, 201, 269, 337, 405?\nAnswer: 473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 52 + -b8?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/19 in 6, -5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -28 in -2\/7, 1, -1\/4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*z + 4*z - 11*z - 15*z in the form c*z + r and give c.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v + 80. Determine j(-23).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1233556251 to the power of 1\/4, to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 AM and 6:07 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 193 and 9457?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/163 in -5, -19, -34?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 177, 355, 533, 711, 889?\nAnswer: 1067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -423.96 - -431. Let f = -6.5 + c. Let q = f - 3.54. Sort -4, 1, q in decreasing order.\nAnswer: 1, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7382430 is divided by 7382422.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 155 - 153. Let y be (10363 - 0) + (1 - m). Is (-7 - 133\/(-21))*y\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in eleven halves of a meter?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c**3 + 0*c**3 + 4*c**3 + (2*c + 4 - 4)*(0*c + 2*c**2 + 0*c) - 12*c - c**3 + 111*c**2 - 111*c**2 in the form s*c + w*c**2 + y + t*c**3 and give s.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -1. Let l(k) = -28*k**2 + 3*k + 110. Let g(n) = 5*n - 116. Let v be g(23). Let z(a) = v*l(a) - 2*d(a). What is the derivative of z(c) wrt c?\nAnswer: 56*c - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-6)*-5)\/(100\/30)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -77078 + 71?\nAnswer: -77007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4612 + 4616. Solve -4*q = m + 4, f*m + 11*q = 7*q - 4 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 12*l**2 + 10*l + 8. Let p(t) = -6*t + 3. Let k be p(2). Let d be a(k). Suppose d = 4*q + 9. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 5 = -5 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1008)*-4 + sqrt(1008)*-1 + -2 - -6*(sqrt(1008) + 1*(sqrt(1008) + (sqrt(1008) - (sqrt(1008) + 1)))))**2.\nAnswer: -2880*sqrt(7) + 226864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 7 + (-16 - -18) + 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.05 + 0.1. Let d = o + -1.55. Let t = -1 - d. Which is greater: t or -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.113826 times -4\nAnswer: -0.455304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 12*l - 70. Give u(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 410559 * 0.2\nAnswer: 82111.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -15237161 + 2?\nAnswer: -15237157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9285 in 5, -3, -0.474?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7\/39, -0.4, 14, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4.5, 43, 1\/6, 0.04?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.486 (b) 2\/5 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = g - 5*d - 149, -d + 439 = 3*g. What is the remainder when 184 is divided by g?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4*(39\/21 - 2). Let y be (-18)\/(-21)*(-7)\/(-10). Which is the second biggest value? (a) -1\/3 (b) j (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 115\/2? (a) -0.58 (b) 14158 (c) -2 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*q + 0 - 1 + 1 to the form o*q + u and give o.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0.2, 3, -29764523 in descending order.\nAnswer: 3, 0.2, -0.4, -29764523","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/120 and 1\/8.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 851651?\nAnswer: 229, 3719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*g - 146*g + 469*g.\nAnswer: 387*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 4*l - 3, -12*l = 3*z - 15*l + 6. Sort 3.3, -3, 0.1, z in descending order.\nAnswer: 3.3, 0.1, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of -j**6\/1620 - j**5\/270 - j**4\/108 + j**3\/3 + 3*j. Let n(v) be the second derivative of p(v). Solve n(h) = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 300, 2767, 5234, 7701, 10168, 12635?\nAnswer: 15102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seventeen quarters of a millennium?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -279\/220 - 11\/20. Find the common denominator of (185\/30)\/(-37)*-39 and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/3, -161, -38, 26, -1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1139?\nAnswer: 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ama when three letters picked without replacement from maaanaaaaaammha.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 39 = 8*h. Solve 9 = -h*z - 0*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 - 21. Let j be ((-8)\/(-10))\/(t\/20). Solve 6*r - 2*r = j for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28368.913 - 28336. Let c = -0.087 - q. Let m = c - -54. Is m not equal to -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1895 and 795.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 369951545 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23)\/6 + 4*(-3 + 4)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence turl when four letters picked without replacement from tssrkutuussstkl.\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 - 3*a**2 + 2*a**2)*(-1233 + 29*a + 1233).\nAnswer: -87*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 436088 (base 11) to base 15\nAnswer: db43e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2970354 and 1566.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 f when three letters picked without replacement from {x: 1, m: 1, f: 1, p: 3, i: 2, w: 4}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2 + 8*n - 5*n - 4*n. Let i(l) = 6*l + 1. Let a be i(-1). Let g be z(a). Solve -b = -g*b + 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -965, -4285, -9787, -17465, -27313, -39325?\nAnswer: -53495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 4*b**5 - 6231*b**4 + 41835*b**3 + 65155*b**2 - 20139*b - 37224 = 0?\nAnswer: -1, 3\/4, 8, 1551","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 66 + 71 = 0. Let k = -3 - -4. Is k at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 67.4 and 5?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14\/(-63) + 56\/9. Let o = u + 1. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -229359 (b) 1 (c) 64\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -156 - -92. Let t = 67 + x. Calculate the least common multiple of 11 and t.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -765 = -5*x - 3*b, x + 4*b - 228 = -58. Suppose x = -546*h + 552*h. What is the highest common divisor of 25 and h?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1348904 to the power of 1\/2, to the nearest integer?\nAnswer: 1161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i\/i**(-7))\/i*i*i**(-2\/9)*i**(-2)*(i*i**(-8)*i)\/i)**(-22) assuming i is positive.\nAnswer: i**(44\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - 2*q**2 + 6*q - 4. Let r be w(-5). Let u be (-50)\/6 - 9 - -17. Which is the closest to 1? (a) u (b) r (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -5225778?\nAnswer: 5225778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 4*l - l)*(-3 + 1 + 5)*(0*l**2 + 0*l**2 - 2*l**2).\nAnswer: 18*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 1\/1233530665 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-7) - 397\/(-7). Let k = m - 30. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 + 18*b + 38. Let u be j(-16). Calculate the highest common divisor of u and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 + 3*f + 17. Let i be p(-7). Suppose -39 = 2*d - i. Solve 0 = -2*w + d*w - 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 207 - 89. Let p = y - 73.2. Let j = p - 53. Round j to 0 dps.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p\/p**0)\/p*p)\/((p*p**(1\/4))\/p)*(p**(-1)\/p)**(-8)*((p*p*p*p**(-1\/4)*p*p)**(-2\/69))**(-30) assuming p is positive.\nAnswer: p**(2013\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*x - 6 + 114. Sort -22, x, -5 in descending order.\nAnswer: x, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -133.4 - -133.7. Sort 0.1, 4, h, 0 in increasing order.\nAnswer: 0, 0.1, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 PM and 12:36 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-385)\/70)\/(((-10)\/(-12))\/(-5)). Let c = y - 18. Let k be (-21)\/(-14) - (-3)\/(-2). Solve k = -5*f + c, 0*f = 4*z - 2*f - 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 657\/254 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0238 + 42.9238. Let f = h - 44. Round f to one decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -28?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from iipppipiipppiiii?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 6*d**2 + 3*d + 4. Suppose 2 = 3*h - 1. Suppose 4*s - 6 = 5*w + 34, 0 = s + w - h. Give j(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.47 + -3.07. What is the fourth smallest value in 1\/4, -0.4, 0, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/8*(8*(-6)\/72)\/(11\/(-2046)).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1754058172?\nAnswer: 2, 61, 79, 90997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3370 - -3370.0036591. What is o rounded to four decimal places?\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -4*z + 3*c + c, -4*z + 17 = 5*c. Let w be (-8000)\/(z + 202\/100). What is w rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264775 is divided by 12593.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3605 = 772*n + 7255 + 50900 for n.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.10429 (b) 8 (c) -5 (d) -251\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1426 and 47244?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*-1)\/((-15)\/((-1350)\/(-20))).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, i: 5, d: 5, p: 1, c: 1}. What is prob of picking 1 p and 1 i?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1 - 0.1. Let i be (-151)\/((-4)\/((-4)\/3)). Let x = i - -52. What is the closest to b in -0.5, x, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 - -28. Suppose -3*m = -0*m + h*p - 3282, -3*m + 3289 = -4*p. What are the prime factors of m?\nAnswer: 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -866*v**2. Let u(y) = -11*y**2 + 28. Determine u(k(n)).\nAnswer: -8249516*n**4 + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26707*g**5 - 12391*g wrt g?\nAnswer: -534140*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 4. Let g = 1.5 - 1. Sort 0.3, g, d in increasing order.\nAnswer: 0.3, g, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - 5*r**2 + 3. Let c be q(5). Suppose 37*p**2 + 3*p**3 - 43*p**2 + 3*p + 0*p**c = 0. Calculate p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, l: 1, q: 2, d: 1, o: 2}. Give prob of sequence so.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5738 and 10.\nAnswer: 28690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006004669 to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v - 5*i + 14, 0 = 4*v - v - 2*i + 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-1)*-1*-253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 1)*(25*w - 73 + 73) + 2*w - 6*w - w.\nAnswer: -80*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -487 + 497. Let m(a) = a**3 - 14*a**2 + 39*a + 16. Suppose 0 = -3*z, 3*z + 920 = 4*u + u. What is the least common multiple of m(k) and u?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -4*u - 20. Let b be j(-12). Suppose 0 = -6*x + 2*x. Suppose 2*p + 3*p - 350 = x. Calculate the greatest common factor of b and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -0.6, 1862?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 r when three letters picked without replacement from {r: 1, l: 1, z: 2, v: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14054 (base 7) to base 11.\nAnswer: -2956","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19748 = 4*a + 4*h, 5*h - 4714 = a + 205. What is a rounded to the nearest one hundred?\nAnswer: -4900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/5 + 82*k**2 + 2398*k\/5 + 398.\nAnswer: 2*(k + 1)*(k + 5)*(k + 199)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 22*2.57626\nAnswer: 56.67772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.190653 - 17.189553. Let z = m - -17. What is z rounded to 4 dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 + 13*n + 0 - 14 + 3. Let u be c(-14). Suppose 7*i - 432 = u*i. Is i a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = 6*y - 488. Is y a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 523 = -371. What is the remainder when u is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50261963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -677 in 0.4, -3\/4, -3, 5, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 - -15029058?\nAnswer: 15029002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/767 and -48\/649.\nAnswer: 8437","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -243*n + 2435. Let l be r(10). Solve 29*m - 27*m - l*p + 12 = 0, 6 = -m + p for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6604.\nAnswer: 2, 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (230*(-28)\/140)\/4?\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(765\/(-136)))\/(6\/135*6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 4*z**2 - 1918576*z + 230058366736 = 0.\nAnswer: 239822","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 11880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 20*u**2 + 113 - 14*u**2 - 118 - u**3 - u. Determine o(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/28 + 4\/16?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -32 and 50.13188?\nAnswer: -1604.22016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -9. Let z(n) = n**3 - 4*n**2 - n - 6. Give z(u).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**2 + 4 - 15*w + 2*w**3 - w**3 + 2*w**3 - 8*w**3 in the form x*w + s + o*w**3 + i*w**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4922 and 41814.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33 - -84. Let d = z + -18. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 617989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 16) to base 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 12.93. Let z = 0.13 - g. Let j = -964 - -963.98. What is the third smallest value in -5, j, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 - 17.3. Let m be (18\/(-20) - -1)\/(23 + 1316\/(-56)). Put -5, d, m in increasing order.\nAnswer: -5, m, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -22*j + 27*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6495)\/(-435) - 6\/(-87). Suppose -7 = -8*m + c*m. Let f(d) = 15*d + 1. Calculate f(m).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*p + 23. What is the units digit of p\/(-14) + (-19)\/(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -2\/323 (c) 5 (d) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1267, 1259, 1251, 1243?\nAnswer: 1235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**2 - 622 + 622.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 610, 501, 382, 253, 114, -35?\nAnswer: -194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7.61 and 999158.\nAnswer: 999165.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28795, 25329, 19563, 11497, 1131?\nAnswer: -11535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -13764, -55272, -124402, -221112, -345360, -497104, -676302, -882912?\n\"Answer: 7*n**3 - 13853*n**2 + 2*n + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 785 - 76?\nAnswer: 70a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**3 - 23*q**2 + 69*q - 12. Let m be p(-14). Let 0*b + 0 + 2\/11*b**3 - 8\/11*b**m = 0. Calculate b.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*y + 9*y + 6*y - 310 = 0 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*r - r + 8*r**4 - 4*r**4 - 3*r wrt r?\nAnswer: 48*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23280 is divided by 142?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111 - 10111?\nAnswer: -101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + 12307*a + 98389. Give n(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (0\/5)\/6*1*1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 413*k + 78474. Determine t(-190).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p - 6*p + 6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 42*h + 22*h + 31*h)*(-44 - 35 + 0 + 11) in the form v*h + o and give v.\nAnswer: -748","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17685 is divided by ((-22)\/4)\/(((-5)\/(-25))\/((-70)\/175)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.155 and -0.03023912.\nAnswer: -0.18523912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-82)\/30 + 4 + 5\/(-5). Let t = 14255 + -1496762\/105. Let v = r - t. Which is the third biggest value? (a) 2 (b) 5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 m when four letters picked without replacement from jmmmmmmm?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 240534 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -d**7\/35 + 11*d**5\/60 + 3*d**2\/2 - 7. Let w(c) be the second derivative of u(c). What is the third derivative of w(m) wrt m?\nAnswer: -144*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of -l**7\/1995 + l**6\/1140 + l**5\/285 + 8*l**2. Find s such that r(s) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m - 177 + 90 + 87.\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*t + 490 = -98 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 113 + -12?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**3*a)\/a)**(-47)\/(a**(-5\/3)\/((a\/a**5)\/a*a)) assuming a is positive.\nAnswer: a**(-430\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of -g**5\/12 + g**4\/2 - 2*g**3\/3 - 4*g**2\/3 - 452*g. Factor h(x).\nAnswer: -(x - 2)**2*(5*x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -19742*r**3*s - r**3 - 182*r**2*s - 12*r**2 + 6235*r + 3 wrt s?\nAnswer: -19742*r**3 - 182*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 23 = -5*m, -2*p = -4*m + 25 - 3. Let u = -5 + m. Which is smaller: u or 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*r + r - 4*r + ((2 - 5 + 0)*(-r + 2*r + 4*r) - 2*r + 0*r + 4*r)*(1 - 5 + 3 - 2 + 3 + 1 + (4 - 2 - 4)*(-1 + 2 - 3)) in the form a + b*r and give b.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((4\/100)\/((-8)\/(-40)))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.74 + -0.68. Let q = -2 + -1. What is the third biggest value in 1\/3, q, o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(3\/16))\/t*t)**(-1\/4)\/(t\/(t*t**(3\/14))*t*t\/(t\/(t*t\/(t*t**(1\/8)))*t*t*t)*t*t*t*t*t))**(-17\/2) assuming t is positive.\nAnswer: t**(30141\/896)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of -w**6\/120 - 4*w**3\/3 + 2*w. Let t(z) be the second derivative of v(z). Let o(k) = -1 - 4*k + 1. Determine o(t(u)).\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/11 or -100\/2517?\nAnswer: -100\/2517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(3\/3)\/(3\/(-3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -98175 bigger than -4810598\/49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + (-3)\/(-3)*2. Suppose 2*a - 1 = x*i + 3, 5*a - 12 = 4*i. Let o(j) = 2*j - 6. Calculate o(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14234?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 441 a factor of 391929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3\/4)\/m)**(-3\/11)*m**(1\/12)\/((m*m**(-21))\/m) assuming m is positive.\nAnswer: m**(1423\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - 11*o + 12. Let r be m(-10). Let j(t) = 4 - 4 + 1 + 0 + t. Let b(p) = -10*p - 11. Calculate r*j(x) + 2*b(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**3 + 7*s**2 + 7*s - 34. Let n(k) = -k**3 + 2*k**2 - k - 2. Let o(d) = -n(d) + y(d). What is the tens digit of o(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 66, 254, 566, 1002, 1562?\n\"Answer: 62*a**2 + 2*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1583285 and 12925?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**4 - 48*o**3 + 165*o**2 - 114*o.\nAnswer: -3*o*(o - 2)*(o - 1)*(o + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*l**2 - 18*l**2 - 20*l**2.\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5*-39146000\nAnswer: 195730000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60 - 2*k - 702 + 0*k - 41.\nAnswer: -2*k - 803","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 48*x + 1553. Let r be d(-5). Which is bigger: 1314 or r?\nAnswer: 1314","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**4)\/q*q*q*q**(-3)*q)\/(q**(2\/13)*(q\/(q\/q**(3\/4))*q)\/q) assuming q is positive.\nAnswer: q**(161\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 29*d - 581. Let k be i(20). Let g = -3 + 0. Does 28 divide (g - k) + -5 + 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/(-1)*-3 - -3. Suppose 0 = m - 5*m. Suppose 0 = -m*j + j - o. Does 18 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - v)*(178 + 22 - 53) - v - 6*v + 3*v.\nAnswer: -151*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 301 - 28. What is the remainder when i is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6.35, 4, -6, -1, 0.3, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 100 - -103601166?\nAnswer: 103601266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fffb when four letters picked without replacement from hxohffofboxfbhxpo?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8725 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s**2 + 30*s - 25. What is the remainder when u(-13) is divided by 34?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 17 - 5 = 0. Is (-186)\/(-8) - p\/(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, -4\/17, 8, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3 + 496*s + 4 - 487*s. Let w(q) = -13*q - 10. What is 7*n(j) + 5*w(j)?\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 191, 163, 109, 23, -101?\nAnswer: -269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -0.67.\nAnswer: 3.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a meter in millimeters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -986 = o + 5*b, -9 = -4*b - 21. Let a = 1622 + o. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33880 is divided by 11293?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.8 and -27.6.\nAnswer: -77.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.17014 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lmfehheee. Give prob of picking 1 e, 1 f, and 1 l.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -9 (b) -12 (c) 175\/2 (d) -0.623\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z**2. Let r(u) = 26*u - 38*u + 20*u. Calculate r(t(a)).\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p*p**(-25\/2)*p))**(-8\/11)*(p**(-30\/11)\/p)**(7\/10) assuming p is positive.\nAnswer: p**(-117\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60414635 is divided by 208.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2115509 + -884509. What is s rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 5*f**2 + 9*f + 2. Let s be r(-2). What is the tens digit of 388\/8*s*2\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5422 and 86752?\nAnswer: 86752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -58.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -133225 + 14?\nAnswer: -133211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - 1718 + 3*w + 1717)*(0*w**2 - w**3 + 0*w**2).\nAnswer: -w**4 + w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 (base 16) in base 15?\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33147733?\nAnswer: 5077, 6529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p**2. Let y(i) be the third derivative of -i**4 - 12*i**2. What is y(c(u))?\nAnswer: -48*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -3*l - 4. Let o be b(-2). Find v, given that 1 - 5*v**2 + 8 + 3*v**3 - 3*v - 3 - v**o = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3002, 3008, 3018, 3032, 3050, 3072, 3098?\nAnswer: 3128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 9, 20, -38, 4.\nAnswer: -38, -3, -2, 4, 9, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (95 - (72 - 16)) + (-2 - (-5 - 2)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -479.\nAnswer: 191.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 362108, 724195, 1086268, 1448327, 1810372?\nAnswer: 2172403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -4*k**3 - 4*k**2 - 12*k + 2. What is the remainder when i(-2) is divided by 29?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + 1. Let p(n) = 5*n**3 + 3*n**2 + 2*n + 7. Calculate 5*d(a) - p(a).\nAnswer: -5*a**3 + 2*a**2 - 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 536335 to the power of 1\/2, to the nearest integer?\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 143 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-267 + 2)*(1*2)\/((-5)\/41) a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from kzkk?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 - 12*c + 32. Let p(t) = t**2 + 11*t + 5. Let h be p(-12). Let q be g(h). Calculate the highest common factor of 9 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.3 - -8.50103959736.\nAnswer: 1.20103959736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3693210 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + 84*j**2 - 36*j + 2. Let b(o) = 2 + 2 - 3 - 27*o + 28*o. Let k(i) = 2*b(i) - n(i). What is the second derivative of k(z) wrt z?\nAnswer: -6*z - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108 = 13*z - 187 + 326 for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 (base 15) in base 12?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9927537 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00344666 rounded to 5 dps?\nAnswer: -0.00345","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -31*j + 22. Let o be d(-10). Let g = o + -298. What is the remainder when g is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 26 = -0*q. Let a = q + -7. What are the prime factors of (6 - 1)\/(3\/a)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2265251 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/6 + 41*w\/6 + 43\/3.\nAnswer: -(w - 43)*(w + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 201435 and 5615212.\nAnswer: 5816647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 8*v**3 - 148*v**2 - 11*v. Let i(x) = -3*x**3 + 49*x**2 + 4*x. Calculate 4*f(u) + 11*i(u).\nAnswer: -u**3 - 53*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r - 21025 = -21169 for r.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*k + 1 - 3*k - 1 as h*k + g and give h.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2316 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -801 (b) 1\/37 (c) -28 (d) 1\/9 (e) 0.2 (f) -5\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 308\/3 or 104?\nAnswer: 104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of 0*k**4 + 1\/30*k**5 - 1 - 5\/24*k**6 + 2*k**3 + 0*k + 49*k**2 + 1\/210*k**7. What is the third derivative of v(n) wrt n?\nAnswer: 24*n - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3022733.\nAnswer: 7, 61, 7079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -162 - -240. Let m = 54 - 50. Suppose 142 + n = m*j. List the prime factors of j.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 19, 1, 7 in ascending order.\nAnswer: 1, 3, 4, 7, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 15211150 (base 6) to base 16\nAnswer: 817aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -30750000 rounded to the nearest one million?\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -108*o**2 - 8*o**2 - 194*o + 124*o**2 to the form m*o + p + d*o**2 and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 475715.\nAnswer: 5, 95143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 583 is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 + 2*a**2 + 3*a**2 - 2*a**2 - 3*a**2 + (a - a - a)*(-3*a + 2*a + 2*a) - 2*a**2 + 2*a**2 - 3*a**2 to h*a + q + x*a**2 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**2 + 11*i + 11*i**3 + 13*i**3 + 1 + 0*i - 26*i**3 as h + l*i + j*i**2 + o*i**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/64 and 39\/88.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 7104969.2 to the nearest 10000.\nAnswer: 7100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 7304823 divided by -243\nAnswer: -30061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -345 (base 7) to base 8.\nAnswer: -264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45.2 - 44.562. What is o rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46050 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + s + 22422, -2460 = 4*n + 2*s + 19956. What is the second smallest value in 0.2, n, 1\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -1 - 4 + 3 + 1. Let f(a) = -2*a - 7. Determine f(k) - 6*u(k).\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/13))**(-7)\/((l\/(l**(-5\/4)\/l))\/l)**(-28) assuming l is positive.\nAnswer: l**(833\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p\/(p\/p**7))*p*p**5*(p**0)**(-1\/3)*(p**(-1)*p*p**(-7)*p)\/(p**5*p*p*p**(-5)) assuming p is positive.\nAnswer: p**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -102594892, -102594891, -102594890, -102594889?\nAnswer: -102594888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -11*u**2. Let b(k) = 1253410*k**2 - 2. Determine b(r(f)).\nAnswer: 151662610*f**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/25 of a meter?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of y**8\/560 - y**7\/420 + y**6\/1080 - y**3\/2 + 7*y**2. Let f(a) be the first derivative of g(a). Factor f(r).\nAnswer: r**2*(3*r - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 7 + 4)*(x - 2*x**2 - x)*(-23*x**2 - 6*x**3 + 23*x**2).\nAnswer: 228*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -311*u - 129. What is the units digit of v(-19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 259*z**2 - 5*z - 5. Is 7 a factor of v(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 100*w**2 + 194*w + 199. Determine g(98).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 2. Let j be (-16)\/120 - 55\/150. Which is the third smallest value? (a) j (b) i (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h**2 + h**2 + 5*h**2)*(152 + 305 + 175 - 156 + 488) in the form y*h + q*h**2 + i and give q.\nAnswer: 3856","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 11:57 AM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 52633\/12 - 4392. Calculate the common denominator of 9\/508 and d.\nAnswer: 1524","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 153*w**2 + 2. Let g(y) = -10*y. Determine g(c(t)).\nAnswer: -1530*t**2 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 988*u + 32675. What is x(-33)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-10) - 118\/(-295). Solve -4*i + m + 19 = h, -3*m + m = 6 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9641 - 9638. Determine d so that 4\/3*d**q - 1\/3 + 7\/3*d**2 + 2\/3*d = 0.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 69*s**3 + 4*s**2 + 5*s - 7. Is u(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/18)\/(3 + -2)*(18 - -2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 6:48 PM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 2*s - s - 4861, 0 = -4*s - 6*u + 19494. What are the prime factors of s?\nAnswer: 3, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 7*d + 13 - 11 + (-3 + 4 - 3)*(-3 + 3 - 3*d) as l + o*d and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 37387693 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 60 - 121\/2. Let m = -5.4 - -8.4. Which is the nearest to 0? (a) m (b) v (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z - 5*b - 22, 5*b - 11 = -21 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12216 is divided by 93?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55561 = -15*p - 53581. Let y(i) = 3*i**3 - 2*i**2 + 2*i - 2. Calculate the lowest common multiple of p and y(2).\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*t + 4*w - 17, t + 4*w = 9. Let a(s) = -1 + 7*s + t*s - 2*s - 18*s. List the prime factors of a(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -379, -373, -353, -313, -247, -149?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007408684675 to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 112.192 times 219?\nAnswer: 24570.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x = 131*x - 93031 + 17737. What is the remainder when x is divided by 65?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 783 + -534. Suppose 0*v + 3*v = r - s, 3*r = -v + 737. What is the remainder when r is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 52 + -48. Suppose -2*q + q + o = 0. Let s(u) = -u - 1. Give s(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p + 11 = 11*p - f, 4*p - 28 = -4*f for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, v: 1, p: 1, e: 1, m: 1}. What is prob of picking 1 t and 1 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 5*y**2 + y. Let v(f) be the second derivative of -f**4\/3 - f**3\/6 + 12*f. Suppose 4*n - 4 = -4*q, 37 = 5*n - 2*q + 18. What is n*v(t) + 2*o(t)?\nAnswer: -2*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -20313, -81804, -184473, -328320?\n\"Answer: -20589*v**2 + 276*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2201200022 + 201200?\nAnswer: -2200221122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -28*h. Let w(q) = 17*q. Calculate w(u(n)).\nAnswer: -476*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of -3*a**5\/20 - a**4\/3 + 8*a**3\/3 + 6*a**2 - 2*a - 9. Is 60 a factor of m(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, m: 6, t: 6, u: 4}. Give prob of picking 2 u and 2 n.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 11 and -16056546814.\nAnswer: -16056546803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -511 - 201b?\nAnswer: -2530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 7*w**3 + 1. Let g = 2684 + -2684. Suppose 5 = s - 3*x, 2 = 5*s - 2*x - 10. Let p be s + 1 - ((g - 3) + 5). Give o(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38 + 188\/5. What is the second smallest value in 0.4, -2\/3, w, -7?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 98 + 91 = 0. Calculate the least common multiple of 48\/(-56) + 136\/28 + 38 and g.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 661296 to the nearest integer?\nAnswer: 813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-3*-2*sqrt(2299) + -2*(sqrt(2299)*1 + -3))*3)**2.\nAnswer: -23760*sqrt(19) + 8276724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*g - 1785 + 1689 = 0 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**2 - 3*x**2 - 2*x**2 - 1 + 1 - 2*x**2 + 2*x**2 - x**2 + x**2 + (5*x + 2*x - 5*x)*(-x + 4*x - x) + 4*x**2 - 5*x**2 + 0*x**2)*(-21*x + 3*x**2 + 21*x).\nAnswer: 3*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 - 0.5. Let y = 4068980.5999986 - 4068981. Let z = x - y. What is z rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d + 1. Let z be j(-2). Suppose 3*o + 2*y + 191 = 179, -o - 43 = 5*y. Solve z*u + 3*v + 4 = 7, o*u - v = -1 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -0.7 (c) 8 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 12 + 6 = 5*f, -2*f - 4*q = -4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69a66 (base 16) to base 7.\nAnswer: 3451432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15.8 + 17.8. Let p be 2\/6 + (-10)\/12. Which is the biggest value? (a) 0.1 (b) k (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-35))\/(6\/(-15)). Let z be (-93)\/(44\/80 + (-7)\/28). Let p = z + 310. Is p equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1001 (base 2) to base 3\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6585 = -129*u + 11229 for u.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 2*u**2 - 7*u - 8. Calculate x(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40738 is divided by 1072.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 4 = -92. Let d be (4\/4)\/((-2)\/2). Calculate the common denominator of 69\/4 and (28\/q)\/(d\/3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5\/29 (b) -1.4 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*c + 32*c + 5. Let i(p) = 19*p**2 + 20*p + 19. What is the remainder when 447 is divided by i(c)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*d = -69*d + 720 for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 103032*o + 824273. Calculate c(-8).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 126666729 to the nearest integer?\nAnswer: 11255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.006 - -0.994. What is the nearest to 1 in 1, u, -2, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 + 15*q + 1. Determine h(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from susbbsubsbbubsuusbsb. Give prob of sequence su.\nAnswer: 7\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -143290947702 + 143290325530.599943. Let k = i + 622174.7. Let f = -3.3 + k. What is f rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(126)*2)\/(sqrt(9) + 4*2*sqrt(9)))\/((sqrt(242) - (sqrt(242)*-1*5 + sqrt(242))) + -2*sqrt(242)*2).\nAnswer: -4*sqrt(7)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/2)\/((-2)\/(-12)). Suppose 15 = -v*x + 8*x - 5*l, l - 12 = -4*x. Suppose -21 = -x*p + 78. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1\/66)\/((r**14*r*r*r)\/r)*(r**(-7))**25 assuming r is positive.\nAnswer: r**(-12607\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 9:29 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 294 by 42.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*y**3 - 19*y**3 + 108*y**3.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 16 = -16*l + 16*l, 86*u - 90*u = 2*l - 26 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 828349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*k = -417 + 249 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vpeebprr. What is prob of sequence ebpv?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207878 is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + t = 0. Suppose 0 = 3*p - t*p. Suppose p*j + 76 = j - 3*i, 0 = -3*j + 2*i + 193. What are the prime factors of j?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-9)\/(t*t*t**3*t*t))\/(t\/t**(2\/3))**(20\/11) assuming t is positive.\nAnswer: t**(-548\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-2) - (-3)\/(6\/20). Solve s = m + 15 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -4186 (c) 124\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -67524 divided by 1\nAnswer: -67524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3304023 to 3 decimal places.\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - 5*b - 8. Let h be 10 - 6\/(4\/2). Let f be c(h). Let k be ((-15)\/f)\/((-2)\/4). Solve 0 = 5*n - 4*q - q + 30, -k*n + q = 14 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 6*n + 5*c + 200, 0 = 2*n + 2*c - 92. Calculate the remainder when 73 is divided by n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 20*r**3 - 12*r**2 + 3*r + 10. Let q be s(-5). Let z = q + 16939\/6. Find the common denominator of z and -1\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -17300.6 and -6.38.\nAnswer: -17306.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4 (b) 36 (c) -518 (d) 2\/15 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (219 - 0)\/((-49)\/980*-60) - -9\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*t**(-5\/4))\/t*t)\/t*t**0*(t**(-2\/3))**(-46))**(-30\/11))**(-2\/91) assuming t is positive.\nAnswer: t**(1765\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 104*p**2 + 2*p - 1. Is k(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iyyiijyjyiii. Give prob of sequence yi.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 54 = 4*h, -3*h - 4 + 38 = -a. Let k = 1 - 3. Let g(o) = 14*o**2 - 3*o - 2. Let d be g(k). What is the greatest common factor of h and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 65 - 60. Suppose -4*m - m = -3625. Find the common denominator of 1\/c*m\/40 and -51\/11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + 5\/((-5)\/(-2)). Suppose -8 = -y*d + 7. Solve 4*j - d*h - 9 = 0, -3*j + 0*j + 4*h = -12 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/7 (b) -10 (c) -0.21 (d) -57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 15. Let h be (-140)\/49*(-14)\/r. Let t = h - 7. Are 1\/5 and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w, 1 h, and 1 k when four letters picked without replacement from vvvwhkvwvvhvvwvvwva.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2197\/8740 - 3\/2185. Which is the fourth smallest value? (a) -13\/3 (b) k (c) -17 (d) -1\/9 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gkagmta. Give prob of picking 1 a and 1 m.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**2 + m**2 + 3*m**2 + (m + 5*m - 5*m)*(2*m + 0 + 0) - 2*m + m**2 + 2*m - 2 + 2 - 2*m**2 - 785*m**2 + 1841*m**2 - 848*m**2.\nAnswer: 210*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62.723 + 253.\nAnswer: 315.723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 35774 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1707, 218, -1271, -2760?\n\"Answer: -1489*s + 3196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r + 3*r + 2*r + (0*r + r + 5*r)*(-1 + 6 - 3) - 18*r - 7*r - 2*r + (-3 - 1 + 1)*(r - 4*r + 2*r)*(0 + 0 + 2).\nAnswer: -7*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3 = 3*m, -m + b = -4*m - 3. Suppose 4*y + 4 - 12 = m. Suppose -2*o = 2*k - 20 - 26, 80 = 5*k - y*o. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-7)\/(-2))\/(-17*(-7)\/238) + 34736?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 18*q**3 - 6*q**2 - 10*q + 707. Let w(c) = c**3 - c**2 - c + 4. Let y(f) = -p(f) + 10*w(f). What is the first derivative of y(u) wrt u?\nAnswer: -24*u**2 - 8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 - -0.5. Let d = 0.3 - k. Which is the third smallest value? (a) d (b) -0.1 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of -w**8\/6720 - w**7\/1260 + w**4\/6 - 3*w. Let i(b) be the third derivative of n(b). Find the third derivative of i(o) wrt o.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + 3938*w - 772247. Let x(h) = 25*h**2 + 86640*h - 16989435. Let a(y) = 45*d(y) - 2*x(y). Suppose a(r) = 0. What is r?\nAnswer: 393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206062 is divided by 204764?\nAnswer: 1298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 0. Suppose 245 = x*o + 89. Calculate the highest common divisor of 13 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 - 42*c + 234. Suppose -16*u + 188 = 12*u - 32*u. Give p(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-20))\/(8*4\/(-240))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*b**4 - 11937*b**3 + 5*b**4 + 2*b + 11938*b**3 + 5*b**2 + 2*b**4 to the form k*b + a*b**2 + c + h*b**3 + s*b**4 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 20375819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 + 13*o + 25. Suppose -5*f = -476 - 114. What is the remainder when f is divided by a(14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2544 (base 9) in base 14?\nAnswer: 99d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1905 a factor of 3559061967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a tonne in kilograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 8*o - 4. Let l be f(3). Suppose 0 = 4*b - b + 5*g + 13, 4*b - 5*g - 41 = 0. Let r = 8 - b. What is the highest common factor of l and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 1006269012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 6467*g - 18 = -6468*g, -5*g + 60 = 5*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -895810*n**6 + 12*n**2 + 35*n - 136.\nAnswer: -107497200*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2330418882.\nAnswer: 2, 3, 11, 349, 101173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -122 (base 3) to base 2\nAnswer: -10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -223484 (base 15) to base 8\nAnswer: -6161655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*i + 6*i + 2*n + 100, 3*n = 0. What is the greatest common factor of 10 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -v**4\/4 + 71*v**3\/4 + 2418*v**2 - 13509*v - 163944 = 0.\nAnswer: -72, -6, 11, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -33, -2\/9, 13\/106?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t = -t + 108 for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 12*r**2 + 57*r - 350. What are the prime factors of g(-43)?\nAnswer: 19387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c + 8*c + 4*c + 0*c.\nAnswer: 10*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 + 23. Find y, given that 11*y**3 + 0*y**t + y**4 - 12*y**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -15327 + -6?\nAnswer: -15335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**(-8)*u*u**17*u assuming u is positive.\nAnswer: u**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*o - 281 = 23 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -117.701 - -0.701. Which is the third biggest value? (a) 1.3 (b) -5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 288*z + 7 = -m + 292*z, -5*m - z = -7 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)*-3 + sqrt(10) - 2*sqrt(160))\/((-1*sqrt(1936))\/((1*sqrt(48))\/sqrt(6))).\nAnswer: 16*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5861448t to kilograms.\nAnswer: 586.1448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -172010253976 and -218.\nAnswer: -172010254194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2656 + 11641?\nAnswer: 6763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.61856 (b) -5.3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 265 - 279. Let i be 1 - (-3 + q\/(-4)). Which is the third smallest value? (a) 3 (b) 14 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/652 and (-22 - (-1576)\/64)*(-1)\/9?\nAnswer: 3912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - 2*1\/(-2). Let q be -3 + 3 + 0 + z. Let d(r) = 2*r**3 - r**2 - 5*r + 3. Let b be d(q). Solve -3*o = -5*y + b, 3*y = 4*y + 2*o + 12 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 338, 7, 377 in descending order.\nAnswer: 377, 338, 7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + 5*q**2 - 4*q - 10. Let o be r(-5). Suppose -6*f - 12 = -o*f. Is (f + 1 - 0) + 87 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -731 less than -731?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 282*r + 39627 = 23553 for r.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)\/(sqrt(1100) + sqrt(11) - sqrt(11)) + 3 + sqrt(272) + (5 + sqrt(833) + 2 - 2*((sqrt(833) - (sqrt(833)*1 - sqrt(833))) + sqrt(833))))**2.\nAnswer: -338*sqrt(17) + 495537\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*h**3 - 6*h**3 + 2*h**3 + (2*h**3 - 2*h**2 + 2*h**2)*(3 + 0 - 2) + (4*h - 4*h - 4*h**3)*(-2 - 2 + 0).\nAnswer: 19*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 304789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 6 + 7)*(-3*a**5 + a**5 + 3*a**5).\nAnswer: 19*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 11:25 PM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -3\/5 (b) 5 (c) -4 (d) 0.3 (e) -0.522\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -233\/2 + 118. Let o(x) be the second derivative of -x + 1\/20*x**5 + g*x**2 + 0*x**4 + 0 + 0*x**3. Differentiate o(j) with respect to j.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -1260?\nAnswer: 1262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c + 0*c - 78*c**2 + 2*c + 85*c**2 as l*c**2 + k + x*c and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 82 - 32. Let x be (z\/(-10))\/(1\/(-2)). Suppose x*m - 6*m = 0. Solve 0 = -m*p + p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + (-8 + 48 - 16).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4*1*(-11 + 262\/24)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106405 divided by -5.\nAnswer: -21281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = 41*y + 68. Let k be (-33)\/7 + 2\/(-7). Let g be (44\/33)\/(2 - -2). What is the smallest value in k, g, y?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-189)\/(-18) + (-1)\/(-2). Suppose -4*l - 19 = -5*q - l, -k = -4*q + l. What is the second derivative of -14*i - 3*i + 19*i**2 - 6*i - 12*i**q wrt i?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + p - 1. Let n(f) = -5*f**2 - 6*f + 6. Let k(o) = n(o) + 6*x(o). Let g(u) = -u + 80. Determine k(g(z)).\nAnswer: z**2 - 160*z + 6400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 136868 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 643*s + 17367. Calculate i(-27).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.08 - -0.08. Let i = 9.1 - 22.4. Let m = 13 + i. What is the nearest to 2 in 0.3, n, m?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 8*g - 1970. Let h = g + 597. What are the prime factors of h?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 94932563 and 103562796.\nAnswer: 1139190756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, p: 1, r: 2, j: 8}. What is prob of sequence rrp?\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 7*z**2 - z - 3. Let m be f(-7). Let c be (17 + m)*(-2)\/(-6). Let n(i) = i**2 - 5*i + 6. Is n(c) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 378452 less than 0.057?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 12:50 AM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - 7*z**2 + 7*z + 25. Let g be k(-8). Let l = g + 96. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1704 (base 8) to base 7.\nAnswer: -2545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.9001386 - -0.1.\nAnswer: -3.8001386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12.57 - 8.47. What is the biggest value in r, 3, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1570 + -168c?\nAnswer: -11c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 524, -0.3, 75 in descending order.\nAnswer: 524, 75, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 12, -29, -138, -321, -584, -933?\n\"Answer: -d**3 - 28*d**2 + 50*d - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -4*z**3 + 5*z**2 + 7*z. Let n(f) = f**3 - f**2 - f. Suppose 2*i = 2*t - 4, -i + 5*t - 3 = -3*i. Calculate i*v(q) - 5*n(q).\nAnswer: -q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - -6612?\nAnswer: 6605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of 17*g**5\/60 + 7*g**4\/24 + 25*g**3\/6 + 3*g**2. Let a(c) be the first derivative of t(c). List the prime factors of a(3).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, h: 2}. Give prob of sequence hii.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 + 39 = 2*q. Suppose -5*w + l = -31 - 24, 4*w = 2*l + 50. What is the lowest common multiple of q\/(2\/1) - 1 and w?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 325 is divided by 78?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*z - 54*z + 792 - 790.\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -5*n - 24, -y + 2*y = 4*n + 14. What is the units digit of y - (-1 + -7 + -1164)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1132 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 + (19 - 27 - 44)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 450352 is divided by 150108?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(2 + 7\/(-4)). Suppose -3*r + 8 = -10. Let w(y) = y - 7. Let h be w(r). Which is greater: h or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 13) to base 16\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -334131\/55 - -6076. Let i = o - 1\/11. Which is the third biggest value? (a) -5 (b) i (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7849, -7827, -7787, -7723, -7629?\nAnswer: -7499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2361115 to the nearest integer?\nAnswer: 1537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 72672.27 centuries?\nAnswer: 726722.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36414.75nm to meters.\nAnswer: 0.00003641475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35 by -3052676.\nAnswer: -35\/3052676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 - 7*o**2 - 24*o + 49. What is the thousands digit of i(14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.05 and 824.\nAnswer: 823.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1051568535?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*z = -50*z + 29160. List the prime factors of z.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(4\/(-10))\/(56\/105)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in nine tenths of a centimeter?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(7\/2))\/t*t\/(t**(-2)\/t))**(-2\/11)*(t**(2\/3))**(2\/193)\/((t**(-3)*t)\/((t**1*t)\/t)) assuming t is positive.\nAnswer: t**(18572\/6369)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (29*r - 44 - 53*r + 26*r)*(-4 + 1 - 2) to x*r + v and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 12\/1 - 1. Let m(g) = -1 + g**3 + 3 + 2*g**3 + 2*g**2 + 2*g. Let h(z) = 7*z**3 + 5*z**2 + 5*z + 5. Let c = 55 + -59. Calculate c*h(v) + j*m(v).\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 10, 2*j + 6*c = 3*c + 85. Let g = j - -29. Suppose -20 = 4*q - g. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 7*r = 8, 5*m + 0 - 33 = -2*r for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*q**2 + 21*q**3 - 4 + 0 - 20*q**3 to z*q**2 + g*q**3 + v*q + k and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaqqqgq. Give prob of picking 1 g and 1 q.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 2*k**2 + 4*k + 1. Let v be b(-4). Let u be (-6)\/10 + v\/(-5). Is 9\/(-4)*u\/3 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*j**2*t**2 + 37130*j**2*t - 2669*j*t**2 wrt t.\nAnswer: -8*j**2 - 5338*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1016 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6804.138l in millilitres?\nAnswer: 6804138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 5\/156 (c) -4\/7 (d) -0.4 (e) -1 (f) -197\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11266261 is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.41 and 5.\nAnswer: 17.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, -153, -588, -1437, -2838, -4929, -7848, -11733?\nAnswer: -16722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 0*n - 30. Suppose -2*s = -4*s + 3*y + 15, 3*s - 2*y - n = 0. Suppose 22 = 2*x + x - 5*g, 3*x - 3*g - 30 = s. Is x a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 4:00 AM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*c*h*n*v - c*h + 23*c + 42*h*n - 2*h*v - 6*h - 2*n wrt c.\nAnswer: 7*h*n*v - h + 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/8)\/(25\/(-40))*35. Is 28\/5 - 1\/(35\/g) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.889 + -0.111. What is the nearest to 1 in 0.4, b, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -681?\nAnswer: -682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -m**4\/6 + 2*m**3\/9 + 6. Factor w(r).\nAnswer: -2*r**2*(r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 1807*l + 3629. Calculate i(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 4529.123km?\nAnswer: 4529123","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14\/10 + (-1 - 15\/(-25)). Sort t, -2, -8.\nAnswer: -8, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 4, -18.5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 204*l**2 + 1137*l**2 + 1089*l**2 - 159*l**2 + 1353*l**2 in the form q + c*l**2 + s*l and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2*s - d - 9 = 0, -d = -1. Suppose 0 = -4*u - b + 21, 0 = 4*u - 2*b - 0*b - 18. Calculate the highest common divisor of u and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-71)\/((-5)\/(830\/(-4)))*-2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/2)\/((-18)\/(-4632)). Let q be (-14)\/(-49) - h\/28. Suppose 9*b - 8*b = j - 11, -52 = 4*b - 2*j. Is q at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 44, 4, 3 in decreasing order.\nAnswer: 44, 5, 4, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 8 = -2*a - 2*l - 1, -a - 12*l = -32 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-10 - 0) + (-1 - -5).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 149674\/11 at least 13606?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77)*-2)\/sqrt(7))**2*-4.\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4 = -2, -4*p + 4*w + 28 = 0. Calculate the remainder when 51 is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 + 542*z + 17291. Calculate s(-30).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 4.83516 and -1.995.\nAnswer: 2.84016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 38786\/5 and 7757 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000722383 rounded to 7 decimal places?\nAnswer: -0.0000722","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 34*x**2 + 17*x + 21. Calculate the least common multiple of 2\/(-3) - 47\/(-3) and u(0).\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 235*c. Let l(k) = 2840*k**2. Give l(f(i)).\nAnswer: 156839000*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from svvuusuujvsuvvu. What is prob of sequence vvvj?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2241242 (base 5) to base 9.\nAnswer: -61123","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from knkk.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 48 - 33. Suppose 2*r - 3 = 17. What is the greatest common factor of r and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103110 is divided by 25705.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 42 - 6420?\nAnswer: -639a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 divided by -186779?\nAnswer: 6\/10987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.906251 tonnes in micrograms?\nAnswer: 5906251000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 4*z - 41. Let j be n(17). What are the prime factors of j\/3*(10 - -1)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.50058 + 6.5. Round r to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (108\/(-189))\/(120\/(-28)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9833120*f*o - 2*f*r**2 - 13*o*r - 60*r**2 + 217*r + 1 wrt f?\nAnswer: 9833120*o - 2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1484*a**2*w**3 + 9*a**2 - 35*a*w + w**3 wrt w.\nAnswer: 8904*a**2*w + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5178038 divided by 31193\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + -2 + -371)\/(-2). Let z be 9*(n\/6 + 1). Let u = 304 - z. Calculate the common denominator of -37\/8 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1 + 44\/(1 + 1) is divided by (-6 - 2 - -2)*-1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*f**2 + 63 - 10*f**2 - 63.\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40.3 + -40. Is o at least as big as 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 (base 8) in base 11?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 898519 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -4. Suppose o = -3*x + x - 2. Is -2 + (x - -28) + 0 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7655.171 litres to millilitres.\nAnswer: 7655171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u + 3. Let f(l) = l + 1. Let o(i) = -3*f(i) + r(i). Let g(s) = -9*s**2 + 5. What is g(o(b))?\nAnswer: -9*b**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 313 is divided by 63.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v. Let m(z) = -z. Let k(y) = 2 - 2 - 8*y. Let h = 11 - 12. Let n(j) = h*k(j) + 4*m(j). What is p(n(t))?\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 22612189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 5*t**2 + t. Let f be 16 + -9 + -1 - -1. Let s(x) = 6*x**2. Give f*k(g) - 6*s(g).\nAnswer: -g**2 + 7*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4460*b + 508*b = -208656 for b.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 184 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - 4*1\/(-1). Solve m*q = -11 + 26 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 480556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 7*d + 6*d - d + 3.\nAnswer: 12*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3541358?\nAnswer: 2, 1770679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1541115 (base 7) in base 9?\nAnswer: 352343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 71. Let n = d + -72. Is (-612)\/(-84) + 2\/n a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -98074, -97594, -97112, -96628, -96142, -95654, -95164?\nAnswer: -94672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1453 is divided by 38.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6998.723 litres in millilitres?\nAnswer: 6998723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 10*t - 54. Let l(h) be the third derivative of -5*h**4\/24 - h**3 - 41*h**2. Let k(d) = 10*d + 13. Determine t*k(p) + 13*l(p).\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 1. Let t(d) = -3*d**3 - 2*d**2 - 2*d + 4. Give 4*a(l) + t(l).\nAnswer: l**3 - 2*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 25\/2 of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n + 2*n + 221134205800*n**2 - 221134205803*n**2.\nAnswer: -3*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -110100 (base 2) in base 15?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -8. Let n be 6\/9 + (-2)\/(-15). Let d = -0.1 + -0.1. Which is the closest to d? (a) -3\/5 (b) p (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.1 - 3. Let r = -0.116225 + -0.283775. What is the closest to -4 in 1, k, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -16686 (b) -4 (c) 0 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 2*h**2 + 1859*h - 7. Calculate p(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/23? (a) -2\/9 (b) 2 (c) -7\/33 (d) -5 (e) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10.95*-3.\nAnswer: -32.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 18944 divided by 4\nAnswer: 4736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12.4 at least -185?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -10*b - 68. Let j be v(-14). What is the highest common divisor of j and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express m - 4*m**3 + 14*m**2 + 4 + 9*m**2 - 21*m**2 in the form x*m**3 + o + t*m + a*m**2 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 73043 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b - 9*b**2 - 2*b + 260 - 263 to l + w*b + j*b**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2519295 rounded to the nearest one hundred thousand?\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(7\/3)\/s**(-11\/2)*s**(-2)\/s*s*s**(-5)\/s assuming s is positive.\nAnswer: s**(-1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-7 + (0 - (0 - 3))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -17, 0, -98.\nAnswer: -98, -17, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4\/13)\/(v\/(((v*v**16)\/v)\/v*v)))**(-13) assuming v is positive.\nAnswer: v**(-191)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zwsmooyz. What is prob of picking 1 o, 1 s, 1 y, and 1 z?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4475.2 - 4475. Suppose 0 = -0*p + 4*p. What is the closest to p in f, -0.3, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (36\/6 + -3)*2\/3. Suppose b*i + 8 = 18. Suppose -c + 10 = -3*t - 18, -i*c = t - 140. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 415, -2 in increasing order.\nAnswer: -4, -2, 415","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24.7 + -22. Let w = t + 0.3. Let n = w - 3.4. What is the closest to 2 in 3, n, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 6 - 18)*(2 + 2*a - 2) + 0 - 2*a + 0 - a - a + 3*a + (1 + 2 - 1)*(-4 - 2*a + 4) + 4 + 2*a - 4 + (0 + 0 - 2*a)*(-3 - 4 + 5) - 4*a - 38*a - a.\nAnswer: -60*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131853*c + 2576 = 131761*c for c.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b*(b\/(b*b\/(b**(-3\/2)*b))*b*b)\/b)*b)\/b)**(13\/4)\/((b*b*b\/(b\/(b**8\/b)))\/b**45) assuming b is positive.\nAnswer: b**(275\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 + z**2 - 3*z + 4. Suppose -5*u + 3*p = 7*p + 15, -2*u - 3*p - 6 = 0. Let r be k(u). Let q be r*(3 + -4)*-1. Sort -0.5, q, -0.4.\nAnswer: q, -0.5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 457 + 189?\nAnswer: 635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15\/(-12) + 1 + -1. Is m < -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/34 or 216569.6?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*4*(4 + -1 + sqrt(1573) + (sqrt(1573)*3)**2 - (sqrt(1573) + -5*(sqrt(1573) + 0) + -4*(sqrt(1573) + -1)**2)).\nAnswer: -245472 + 396*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**2 - o - 11. Let g(b) = 4*b**2 - b - 20. Let l(h) = 4*g(h) - 7*i(h). Determine l(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 6*o**2 + 7*o - 4. Let z be l(-9). Let j = z + 29. List the prime factors of j.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**4 + 144*k**3 - 1728*k**2.\nAnswer: -3*k**2*(k - 24)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 7*v - 28*v - 25 = 0. Is 2\/2043 equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15053670 is divided by 4225?\nAnswer: 4220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -h**3\/3 + 4*h**2 + 10*h + 1. Let i be s(7). Let n = 33 - i. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 - -31. Suppose 0*q - 45 = -5*q. What is the highest common factor of q and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26427*m**3 - 7 - 26437*m**3 + 7.\nAnswer: -10*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -23*m + 98. Give f(5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.63815652 to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 10*f**2 - 6. Let y be k(9). What are the prime factors of y\/(-33) + (-20)\/(-110)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 c when two letters picked without replacement from cuccccucuuccccccuu?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 775715 is divided by 263.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 41454.6mm?\nAnswer: 41454600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.112759 bigger than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -7*b. Let y(t) = 49 - t + 44 - 93. Give y(p(f)).\nAnswer: 7*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hdjv when four letters picked without replacement from tjhvd?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4713780 divided by -313?\nAnswer: 15060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = w - 11, 4*w + 5*f - 3 + 4 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1859 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19680 - -19686. Let k be ((-4)\/8)\/(22\/8). Which is the fourth biggest value? (a) 2\/3 (b) h (c) 0.2 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k - 12. Let b = -54 + 45. Let l be (1\/3)\/(3\/b) - 7. Let c be y(l). Calculate the highest common divisor of 20 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of 7\/3*i**3 - 7*i - 1\/4*i**4 - 1 + 2*i**2. Calculate the remainder when 40 is divided by b(7).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of 0*u**3 + 2 - 1\/600*u**6 - 1\/2*u**2 + 0*u - 1\/120*u**4 - 1\/150*u**5. Let q(z) be the second derivative of p(z). Factor q(m).\nAnswer: -m*(m + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of h**3\/3 - 5*h**2 + 13*h - 2. Let t be v(9). Suppose t*r - 189 - 407 = 0. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-9)\/((-27)\/(-30)))\/1. Let s be 1 - (-2)\/(-4)*g. Determine p so that -76*p**2 + 6 + 1 + s + 32*p + 3 + 28*p**3 = 0.\nAnswer: -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 792 is divided by 440.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-32)\/(-6) - 332\/249. Solve 24*g = -o + 4 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07933117 rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**4 + 1774*v**3 - 1496883*v**2 + 266445256*v - 526917188 = 0.\nAnswer: -2434, 2, 329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -1, -40674, 1\/3, 0.2, -92?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 11:55 PM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n - 1. Let t(a) be the first derivative of -3*a**2\/2 + 3*a - 103. Let m = 2 - -1. Let d be t(m). Let b(k) = -5*k - 5. What is d*r(w) + b(w)?\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141276 is divided by 8821.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1046667154 + -0.06\nAnswer: -1046667154.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 4349292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.4 + -2.6. Let m = -4 - a. Which is bigger: m or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 1602 = -11*i. Suppose 3*a + 13 = 5*s - 245, 3*s - i = -4*a. What is the remainder when s is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (35*f**3 - 17*f**3 - 21*f**3 - f)*(3 - 2 - 3) to the form w*f**3 + m*f + z*f**2 + t and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 6119 - 1632 = -r, -d = r - 7731. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 492?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*l + 7*l + 518. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -87345, -175182, -263019, -350856, -438693, -526530?\nAnswer: -614367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -560 divided by -4?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i + 7. Let a = -11672 - -11666. Let o(b) = -1. Give a*o(f) - d(f).\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -127057, -254109, -381161, -508213?\nAnswer: -635265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -552 from 65.2833.\nAnswer: 617.2833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-60))\/(8\/(-144))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 115, -17, 1\/2 in descending order.\nAnswer: 115, 1\/2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (21\/12 - 2)*6. What is the nearest to f in 5, -0.5, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2471\/(-12708))\/(4\/12*(-2)\/3)\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -752*h - 6. Let r be b(-2). Let j = r - 221. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1330 + 1324. Sort d, 3, 4 in ascending order.\nAnswer: d, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 + 11*n + 14. Let r be i(12). Suppose -3*k = 2*o + 116, r*k - 3*k = -5*o - 324. Let u = -36 - o. Is 29 bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 7:56 AM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x. Let k(r) = -125*r**2 + 4. Calculate k(l(q)).\nAnswer: -1125*q**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/17)\/y*y)**30*y**14*y**(-17\/4))**(-2\/11) assuming y is positive.\nAnswer: y**(-423\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 - 5. Let q = 13.08 - c. Let b = q - 0.080004. Round b to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1212111033 (base 4) to base 6.\nAnswer: 12552303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -20*f - 5. Let b(y) = 5*y + 1. Let u(k) = 9*b(k) + 2*w(k). Let g(p) = -12*p**2 - 6*p**2 + 24*p**2 - 5*p**2. What is u(g(i))?\nAnswer: 5*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 10:38 AM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**2 + x. Let h(f) = f**2 + f. Let v be (-6)\/10 + 8\/5. Let m(g) = v*t(g) - 3*h(g). Solve m(w) = 0 for w.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22846224 and 6798.\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44973 is divided by 20870?\nAnswer: 3233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 269706, 269443, 269180?\nAnswer: 268917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162)*-1*-4)\/(sqrt(6) + sqrt(324)\/sqrt(6)))\/(-3*sqrt(9)*-3 + sqrt(54)\/(sqrt(54) + sqrt(6))) + 5.\nAnswer: 4*sqrt(3)\/37 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1743 - -3322. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5840*r**2 - 275*r + 12 wrt r.\nAnswer: 11680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 551 (base 6) to base 11\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107*a**3 + 102*a**3 - 203*a**3.\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1293 and 614.\nAnswer: -793902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -442d65?\nAnswer: -442d69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mfsf when four letters picked without replacement from fmffffffffssmfsff?\nAnswer: 33\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 8:46 AM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/14 and -77\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -359 + 356. What is the closest to 1 in 4\/3, 0.2, a?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8251225?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of k**5\/15 + k**4\/8 + 5*k**3\/6 + k**2. Is r(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -104 divided by 26.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wrwlwwwwlwtrgrgrrtlw. What is prob of sequence rwtr?\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11178471 to the power of 1\/4, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zvzz when four letters picked without replacement from vhhvzzzhzz?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 21\/(-3) + 4 + 436. Let r = s - 408. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/2*5*(-88)\/132. Suppose -8*d + 4\/3*d**2 + 22\/3*d**3 - 16\/3 + 2\/3*d**u + 4*d**4 = 0. What is d?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 52.7594 (b) 0 (c) 2\/3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*o + 2*o - 19*o - o to i + d*o and give d.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (232 + 0*b - 117 - 118 + b)*(-38*b - 23*b - 171*b) in the form h*b**2 + c*b + l and give h.\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26 + 2*r + 33 - 57 + 2*r - 3 + 3 + (-r + 3*r - 3*r)*(-2 + 3 - 2) - 4*r + 4*r + r.\nAnswer: 6*r + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*f**2*l*m**2 - 42*f**2*l*m - f**2 - 5*m**2 wrt l?\nAnswer: -2*f**2*m**2 - 42*f**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -24) + -7 + -8 - -6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 13120.\nAnswer: 39360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eo when two letters picked without replacement from toetaee.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -2 + -3*(2 + 5 + (sqrt(475) + 5*-2*sqrt(475) - sqrt(475))).\nAnswer: -22 + 150*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 471 or 466?\nAnswer: 466","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 1427 divide 36549208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 - -22. Suppose 6*j + m = 5*j. What are the prime factors of -1 - j - (12 + -33)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 2. Solve -c = -s*y - 11, -5*c = -c - 5*y - 29 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (2 + -3 + 2 - 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 653 is divided by 73?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -20*c**2. Let p(v) = v - 3. Let l(w) = -5*w - 3. Let z(n) = -2*l(n) + 2*p(n). What is z(f(g))?\nAnswer: -240*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 * -3587.6987\nAnswer: 143.507948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 292 (b) 17 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -82*q - 75*q + 137*q - 125. Is 13 a factor of i(-29)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s + 23 = 2*j, 42 = -4*s - 4*j + 98 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/7 - 668*l\/7 + 1328\/7.\nAnswer: 2*(l - 332)*(l - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 274 + -3021\/11. Which is greater: o or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 193827 and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/(-225)*3\/(-2)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(1 + -5) + 3 - -6. Let y be 160\/(p - (-2 + 6)). Calculate the highest common divisor of 64 and y.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 divided by 14013?\nAnswer: 37\/14013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 326304 and 169229.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttftftfrtttfftrt. Give prob of sequence tf.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 13. Let z be (-1832)\/(-34) + (-10)\/(-85). Calculate the greatest common factor of z and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 6*r**2 + 25*r + 37. Calculate the remainder when g(-11) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -125*d**7\/7 - 2*d**4\/3 + 23*d**3\/3 - 165*d. What is the third derivative of a(f) wrt f?\nAnswer: -45000*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 8*t**2 + 6*t + 9. Let f be l(-5). Let s(k) = 78*k**2 + k - 1. Let c be s(1). Let d = c - f. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 104 = -x. Let w(k) = 325*k - 1586. Let p be w(5). What is the highest common factor of p and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 27*a - 1567. Calculate o(57).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -13*z - 2. Suppose -d - 3 = -16. Calculate the remainder when v(-4) is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-2)*(-6)\/(-3). Let b(r) = -4*r**3 + 2*r + 2. Let w be b(f). Solve 20 = 2*t - 6*t - w*p, -5*t + 4*p - 16 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0045924 to 4 decimal places.\nAnswer: -0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 1702 divide 76598638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 7684\/(-9180) - ((-384)\/30 - -12)\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69006869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 973 a factor of 9701383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19983128 - -12234128. Round c to the nearest 100000.\nAnswer: -7700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1, 139, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (13 - 6\/3)*-1. Let h = -21 - -37. Let m = h + w. What are the prime factors of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**2 + 0*z**2 + 2*z**2)*(-4 - 2 + 5) - 54*z + 54*z + 29*z**2 + (-7*z + 0*z + 2*z)*(1 - 6 + 2)*(4*z + 0*z - 6*z).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -620*r**3*t**4 - r**3*t**2 + 3*r**3*t + 9*t**2 wrt t?\nAnswer: -14880*r**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**8\/f*f**2\/f*(f**(-1))**(-43) assuming f is positive.\nAnswer: f**51","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4624747873 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 28858877 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3357 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -364*j - 130. Let t be h(-20). Suppose -25*v + t = -3*v. List the prime factors of v.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**4 - 1484512*r**3 - 367234599360*r**2 - 30261584705881600*r + 3758085933608128000 = 0. Calculate r.\nAnswer: -247460, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4355978 divided by -7106?\nAnswer: 613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 9:07 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 3*z = -0*z - 3, -5*k - 4*z - 4 = 0. Suppose k = 14*t - 123 + 151. Which is greater: -178 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4119 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (v**2 - 2*v**2 + 0*v**2)*(-55730 - 14669 + 103861 - 111709 - 141960 - 200074) to the form z*v**2 + l + y*v and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7116 + -670011?\nAnswer: -660673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -645 + 16f?\nAnswer: -4d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -147*q - 18. Let h be l(-7). Let s be 15\/40 + h\/(-8). Let k = s + 160. What are the prime factors of k?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 12, 13, 12, 9, 4, -3?\n\"Answer: -b**2 + 4*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 3*i**3\/4 - 903*i**2\/2 - 345687*i\/4 + 9715545\/2 = 0.\nAnswer: -189, 46, 745","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 20300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssifqidx. Give prob of sequence iq.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40.3 + 3.3. Let b = i - -36. Let c(q) = q + 2. Let r be c(-5). What is the second smallest value in 4, r, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - (-6 + (-2 - -4)). Suppose -3*p + 2 = -d*p. Suppose 0 = -u - p*u + 285. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -p**4\/12 - 5*p**3\/3 + 27*p**2\/2 - 9*p. Let d be f(-12). Solve 0 = -4*t + d + 17 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (27*k + 14*k - 15*k)*(-4 + 5 - 3)*(165*k**3 - 73*k**3 - 64*k**3) as p*k**2 + g*k + z*k**4 + m + c*k**3 and give z.\nAnswer: -1456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.159 + -0.159. Sort m, 0, 49\/5 in ascending order.\nAnswer: 0, m, 49\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*b - 44*b + 18. Suppose b*j + 10*j = -j. Solve -2*v + 0*v - 6 = 5*w, v + 3 = j for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 4, 6524 in descending order.\nAnswer: 6524, 26, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = 2*p + 78. Is p <= 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.11 and -1.95855.\nAnswer: -0.2154405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1719 and 955?\nAnswer: 8595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 13*f - 300. List the prime factors of f.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1510459581.\nAnswer: 3, 43, 281, 41669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 637\/135360 or -1?\nAnswer: 637\/135360","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - a. Let y(w) = -w**3 - 13*w + 4. Suppose 3*h + 2*x = -x + 27, 5*h = -x + 29. Let q(r) = h*t(r) - y(r). Factor q(m).\nAnswer: (m - 2)**2*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18055 and 345?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.27 + 3.2. Sort 0.2, g, 5, 1\/4.\nAnswer: g, 0.2, 1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 9*y**2 - 2*y. Suppose 13*q - 4 = 9*q. Let t be s(q). Solve -5*k = -t*k + 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/9 of a hour in seconds?\nAnswer: 5600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 10. Suppose 7*k = y*k + 15. Suppose k = -5*h + 40. What is the highest common factor of 77 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 1. Let q = -6 - y. Which is the nearest to -2\/5? (a) 2 (b) -4\/3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 - 10*u - 14. Let b be s(-11). Let t = b - -31. Factor 8*i**2 + t*i**2 - 10*i**2 + 4*i - 24.\nAnswer: 4*(i - 2)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 0*t - 136 = 0. Suppose -11 = -3*a + t. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1104*p**2 - p**3 + 2*p**3 + 4*p + 1019*p**2 - 4*p + 7 as m + y*p + c*p**2 + t*p**3 and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -55?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -335565 + -6231?\nAnswer: -345126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -675 by 9.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -109 minus -8.6?\nAnswer: -100.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -283679550*z**4 + 104007210*z.\nAnswer: -3404154600*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, g: 1, p: 2}. Give prob of sequence gep.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 6:05 PM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.17447803 rounded to 4 dps?\nAnswer: -0.1745","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**6\/(((c*c**(-6)*c)\/c)\/c))**(-29)*(c**(4\/3)\/c**(2\/7))**(-7\/3) assuming c is positive.\nAnswer: c**(-3154\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p**3 + 9*p**2 + 22*p + 117. Is h(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -4*q**3 + 173*q**2 - 45*q + 108. What is w(43)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 3:13 AM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 + 6*y + 5. Let r be w(-5). Suppose 2*v = 5*f - r*v - 48, -f - 4*v - 8 = 0. Factor -10*k**3 + 6*k**2 + 17*k**4 - 6*k**3 + k**3 - f*k**4.\nAnswer: 3*k**2*(k - 1)*(3*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 287472 is divided by 4097?\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -533*t**2 + 9 + 4*t**3 + 180*t**2 + 176*t**2 + 33*t + 177*t**2.\nAnswer: 4*t**3 + 33*t + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -3 + -5 - 5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 18\/(-5) + (-6)\/15. Suppose 4*v + u = -4 - 28, u - 22 = 2*v. Let d be (v\/(-6))\/(2\/(-4)). Which is bigger: k or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 110\/90 - (-2)\/(-9). What is the first derivative of -3 + a**4 + 2*a**4 - 1 - h wrt a?\nAnswer: 12*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 10) to base 12\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6 or -16?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 4*m**2 - 1. Let g(q) = 9*q**2 + 14*q - 14. Let a(h) = 4*h**2 + 6*h - 6. Let l(v) = 7*a(v) - 3*g(v). What is j(l(t))?\nAnswer: 4*t**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1113 + -22?\nAnswer: -1140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/(-15) - (-1 + 4 + 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (48\/(-84))\/((-8)\/84) and 27?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 515, 483, 391, 209, -93, -545?\nAnswer: -1177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -13611220, -13611221, -13611222, -13611223, -13611224?\n\"Answer: -b - 13611219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 - 4) + -4 - (-135 + 120).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*r - 2*k = -82, 4*r + 2*k - 60 = -90 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 20*(-18)\/(-45) - (0 + 0). Suppose -7 = -d*a - 39. Let v(n) = -287*n + 3. Is v(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 8:32 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f - 6*f + 21078 = 0. Is f a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8072.76 and 2.\nAnswer: 16145.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus -194?\nAnswer: -193.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -251, -400, -549, -698, -847, -996?\n\"Answer: -149*x - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 352 + -301. Let s = -51.00942 + d. What is s rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2025 and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -138\/259937 or 1?\nAnswer: -138\/259937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/3*1*9. Let s(h) be the first derivative of -7*h**2\/2 - 7*h - 23. Let y(d) = -6*d - 6. Give z*y(v) + 5*s(v).\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 12) + -8 + (-58 - -36) + 2\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -599*i + 554*i = 945 for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50975, 203464, 457513, 813122?\nAnswer: 1270291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-2) - 0)*1. Let r be 3\/(5 + (12 - 18)). Put -2, c, 17, r in descending order.\nAnswer: 17, c, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -637*i + 37559. What is l(59)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2 - 47990*m + 75130800.\nAnswer: -5*(m - 1370)*(m + 10968)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -16. Let h = 23 - 7. What is the smallest common multiple of ((-4)\/o)\/(1\/(-15)) and h?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g**3 + 20*g**2 - 7*g - 7. What is p(10)?\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15872, -15873, -15874, -15875?\nAnswer: -15876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -78.26965 - -78.3. What is o rounded to 3 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**3 + 4*d + 3. Suppose -m - 4*v = 9 - 21, -4*v + 4 = 3*m. Let k(t) = 3*t**3 + 5*t + 4. Determine m*k(c) + 5*f(c).\nAnswer: -2*c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 58*y + 67*y + 12*y + 17*y in the form t*y + x and give t.\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1222, 1145, 1068, 991, 914?\n\"Answer: -77*r + 1299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14285*h**2 - 19081*h?\nAnswer: -28570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -2*b + 103. Suppose 9 = f - 3*o - 2*o, -4*f = o - b. Let t be 1*(f\/15 + 94\/10). Solve t*p - 8*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 234, 1293, 4152, 9711, 18870, 32529?\n\"Answer: 150*b**3 + 9*b + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198 = -f - 5*f. Let r = -18 - f. Let b = r + -12. Solve 0 = 7*q - b*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**4 - 2*u**3 + 2*u**3 + (-98*u**2 + 76*u**3 + 64*u**3 - 138*u**3)*(5 - 5 + 6*u).\nAnswer: 14*u**4 - 588*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(420)*2)\/sqrt(10))\/((sqrt(6) + -1*sqrt(6) - sqrt(6))*1) + ((sqrt(28) - sqrt(7))*4 - (sqrt(343) + -1)) + 1).\nAnswer: -10 + 25*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 3*q - 25. Let x be q*(6\/3 + -3). Suppose -5*c + 4*l = -15 + 35, 5*c - 20 = -4*l. Sort 3, c, x in descending order.\nAnswer: 3, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 654 times -0.026?\nAnswer: -17.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2099\/5256 + 16\/657. Which is the third smallest value? (a) 3 (b) v (c) -0.017 (d) -44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/3852 and -11\/216.\nAnswer: 23112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40679 - 87593 = 1829*d + 98763 + 70145 for d.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -10*(8\/(-28) - 3\/210). Suppose -30 = 11*z + a. Let g(f) = 11*f + 1. Calculate g(z).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of -l**3\/6 - 4*l**2 - 91*l + 2. Let r(u) = -5 + 1 + 3. Give -k(h) + 6*r(h).\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2192 and 4.\nAnswer: 2192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 6 = 12*a. List the prime factors of 370 + a\/((-1)\/((-12)\/(-4))).\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 22 + 18 = 0. Find the common denominator of m and 195\/54 + 1\/2.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**3\/r**(12\/7) assuming r is positive.\nAnswer: r**(9\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 270.075 - 270.1021971. Round d to three dps.\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 8:27 PM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/2*(-58)\/29?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 85 (base 15) to base 10\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**2 - 11*h + 8. Let p be t(-6). Suppose -p*s - 17 = 4*f + 47, -f - 5*s = 16. Let q = f + 19. Solve q*c = c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -2*h + 137777199. Suppose 6*c - 10474267 - h = 0. What is c rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19743a7 (base 12) to base 3\nAnswer: -101010020100201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/19 - 218*h**2\/19 - 928*h\/19 + 2712\/19.\nAnswer: 2*(h - 113)*(h - 2)*(h + 6)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 550565789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*h**2 + 2*h**2 - 3*h**2 + (1 + h - 1)*(-h + 0 + 0) + 4*h**2 - 3*h**2 + 2*h**2 + (-2*h - 1 + 1)*(0*h + h - 3*h) - 3 - 3*h**2 + 3.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + 34*q - 8. Give j(-34).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.695142 rounded to 1 dp?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 301579510?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1220 divided by -6?\nAnswer: 610\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wlwlwdlwwrbrwllrb. What is prob of picking 1 d, 1 r, and 1 b?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 348802 and 114.\nAnswer: 1046406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3*b - 71. Let k be v(23). Let p(u) = -u. Let w(o) = -29*o - 18. Let m(l) = k*p(l) - w(l). What are the prime factors of m(5)?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2223, 2228, 2237, 2250, 2267, 2288?\nAnswer: 2313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 4*k = -7, -4 = 2*f + 3*k + 2*k. Sort -5, 2, 0, f in increasing order.\nAnswer: -5, 0, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*q**6 + 5045*q**5 + 2*q**3 + 1843*q**2 + 13*q?\nAnswer: -600*q**3 + 302700*q**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - w - 11. Determine k(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vvqqcyaqvcqvvvv?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 - -54. Let s = -29.4 + w. Let n = s + 1.6. Which is the third biggest value? (a) 4 (b) n (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8538621, 17077237, 25615851, 34154463, 42693073?\n\"Answer: -s**2 + 8538619*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 44*n**2 + 61*n - 12. Let r(u) = 68*u**2 + 93*u - 19. What is -8*p(d) + 5*r(d)?\nAnswer: -12*d**2 - 23*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/(-2*sqrt(2)))\/(sqrt(448)*1).\nAnswer: -sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -30*c + 3. Calculate i(-1).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*b - 31*b - 8*b)*(-2 + 3 - 2).\nAnswer: 50*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3102 is divided by 347?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11532 = 1088*w - 16756 for w.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/3, 1\/7, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8480, 16952, 25422, 33890, 42356, 50820, 59282?\nAnswer: 67742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*a - 18 = -5*x + 15*a, 4*a = -4*x + 20 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 13*b - 12*b - 700 = 0. Suppose 3*h = -4*h + 322. Calculate the remainder when b is divided by h.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7003 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 228182*u**3 + u + 448777?\nAnswer: 684546*u**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -17 + (-1 - 2) - (-23 - -13)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 3*a**2 + 6*a - 4. Let n be u(4). Let z(y) = -y**3 - 1 + n*y + 2*y**3 - 4*y. Let t(r) = -r**2 + r. Let m be t(0). Give z(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 75 + -77. Let w(q) = -2*q**3 - 3*q**2 - 1. Let a(l) = -3*l**3 - 4*l**2 + l - 1. Let f(d) = 3*a(d) - 4*w(d). Calculate f(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -35, -70, -105?\n\"Answer: -35*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -649, 0.2 in decreasing order.\nAnswer: 2\/3, 0.2, -649","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6901545?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dn when two letters picked without replacement from zndnn.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*z = -238*z + 143993. Suppose 0*q + 4*q - 64 = 0. What is the remainder when z is divided by q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a - 144 + 119 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -758864751493 - -6\nAnswer: -758864751487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-5*sqrt(133)*-5)\/(sqrt(7) - sqrt(70)\/(sqrt(10) - sqrt(250)) - sqrt(63)*-2).\nAnswer: 100*sqrt(19)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of l**3\/3 + l**2\/2 - l + 25. Let n(a) = -20*a**2 - 7. Let s(p) = -n(p) + 5*u(p). Find the second derivative of s(o) wrt o.\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.7, 3\/8, 2\/43, -0.5.\nAnswer: -0.5, 2\/43, 3\/8, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -4*v + 23, -3*v - 5*h = -6*v + 23. Let f(o) = -v*o + o + 6*o + 2*o. Let b(m) = 230 + 5*m - 230. Calculate f(b(i)).\nAnswer: 15*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -5*c**3 + 2230*c**2 + 68735*c + 66500 = 0?\nAnswer: -28, -1, 475","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0131803 rounded to five decimal places?\nAnswer: -0.01318","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**(-1\/3)*k*k*k)**(-1\/15))**(-4\/3)*(((k\/(k**(-1)\/k))\/k)\/((k*k*(k\/k**(1\/6))\/k)\/k))**(-5) assuming k is positive.\nAnswer: k**(-1463\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 8*g + 16. Let m(i) = -15*i - 29. Let b(d) = 6*m(d) + 11*q(d). Calculate b(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of -13*q**4\/24 - 2*q**3 - 6*q**2. Differentiate f(p) wrt p.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-870)\/(-1305)*30\/(-2))\/((-15)\/(-5))?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y + 4. Suppose f - 2*f = 0. Let q be a(f). Sort -1, -4, q in decreasing order.\nAnswer: q, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42198485?\nAnswer: 5, 7, 193, 6247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(294))\/sqrt(6) - -5*sqrt(196))\/(sqrt(49)\/sqrt(63) + sqrt(252) + sqrt(252)*1)*-3)**2.\nAnswer: 68607\/1369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r + 5*r - 15*r - 14*r.\nAnswer: -31*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c**2 + 234*c + 1. Let g(w) = w. Calculate g(f(s)).\nAnswer: -2*s**2 + 234*s + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - 2*z + 2. Let r(u) = u**2 - 3*u + 2. Let n(w) = -3*r(w) + 4*s(w). Give n(4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**2 + 4*h - 22. Let w be (-2)\/(-14) + 36\/(-7) + -2. Let t be o(w). Suppose -4*y + t = 3*m - y, 4*y = 2*m - 62. Which is bigger: m or 19?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*r - 3*d, 7*r - 4*r = d + 27. Let i(f) = -r - 2*f + 4*f - 4*f. Let l be i(-6). Is l at least as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51315 and 495.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 60 = 2*m. Let k = m - -24. Calculate the remainder when 69 is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence adba when four letters picked without replacement from {d: 9, a: 9, b: 1}?\nAnswer: 9\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(425) + sqrt(425) + sqrt(425)*1) + (3 + sqrt(17) + 1 + sqrt(17) - (sqrt(204)\/(sqrt(12) + sqrt(12)*2 + sqrt(12) + sqrt(12)) + sqrt(17))))**2.\nAnswer: -568*sqrt(17)\/5 + 86097\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/40 and -13\/49284.\nAnswer: 492840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2221222 - -2?\nAnswer: 2221230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.23648 + 670.\nAnswer: 670.23648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 76.956 - -0.044. Let l = -80 + q. Which is the third smallest value? (a) -4\/3 (b) 5\/3 (c) l (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**5 - 3458669*a**3 + 21736031*a**2?\nAnswer: -60*a**2 - 20752014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 868 = 4*w - 4*z, -4*z + 640 = 5*w - 400. Calculate the remainder when w is divided by 91.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1333176991.\nAnswer: 23, 57964217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -12*r + 3 + 4*r + 5*r - r**2. Let q be z(-3). Which is the nearest to 1? (a) 5 (b) q (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26179, 52359, 78539, 104719, 130899?\nAnswer: 157079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(2\/25)*t\/(t*t\/(t\/t**(2\/39))) assuming t is positive.\nAnswer: t**(28\/975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27 by 29793.\nAnswer: -9\/9931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -2506608?\nAnswer: -1\/1253304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*60\/8*27\/81.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1448, 5669, 12706, 22559, 35228, 50713?\n\"Answer: 1408*a**2 - 3*a + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/4)\/(14\/(-17528)). Let w = -316 - p. Put 1, 4, w, 0.5 in descending order.\nAnswer: 4, 1, 0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -397 - -398. Let u be (v\/(-3) - (-32)\/96)\/3. What is the second smallest value in -4, u, 4\/33, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15420 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 0 - 1 - (-6 - (-244)\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (502110\/(-12))\/(-5) - (-3)\/(-6). Suppose 7362 = 22*a - p. Does 70 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwz when three letters picked without replacement from qwskcwqczskwccccwkw?\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 + -45. Let z = 39 + v. Let w(r) = -4*r**2 + 11*r. Let c(g) = g**2 - 3*g. Give z*c(k) + 6*w(k).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of 5*v**4\/4 - 4*v**3 + v**2 + 413. Let t(p) = -6*p + 5. Determine -5*o(j) - 24*t(j).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 8*h**2 + 6*h + 9. Does 21 divide p(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*w*z - 2061248*w - 9*z - 329994 wrt w.\nAnswer: -6*z - 2061248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84 and 228.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-2\/5))\/(a*a**(2\/19)\/a*a) assuming a is positive.\nAnswer: a**(-48\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3*c - 2. Let t be g(2). Let i = 25 + -21. Let q(d) = 2 + 7*d + 5*d + i*d - 12*d - d**2. Determine q(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*l - 2*l**2 - 3*l**2 - 2*l**2 wrt l.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 1:26 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 3. Suppose 11*a - 91 - 305 = 0. Suppose 15*f = -a*f. Solve f = -0*b - 2*b + g for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 5*k**2 + 7*k + 5. Suppose 2*v + 144 = -30. Let a = v - -81. Calculate i(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b2 (base 16) to base 12.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 51308*l**4*r - 2*l**3*r - 166*l*r - 120*l - 2 wrt l?\nAnswer: 615696*l**2*r - 12*l*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 500 minutes after 7:24 AM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 23 = 5*v, 3*v + 11 = 4*v - 4*d for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 172973634?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.074 - 33.074. Let a = x + 23. Let z = 10.056 + a. Round z to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4590\/(-2457) + 2 + (-120)\/65.\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(170) + sqrt(170) - sqrt(170))*-4*-6)\/(sqrt(250) + sqrt(250) + (sqrt(250) - 1*sqrt(250)*6 - sqrt(250) - sqrt(250)) - sqrt(250) - sqrt(250)).\nAnswer: -24*sqrt(17)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2954 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 - 0.1. Let g = -0.3 - h. Let k = 6 + -6. Which is greater: k or g?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.013, -0.3, -2\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 553 and -0.0599.\nAnswer: -33.1247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*h**2 - 9*h**2 - 14*h**2)*(-39 - 70 + h**3 + 17).\nAnswer: -17*h**5 + 1564*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -60 - -116. Suppose 0 = k - 0 - 8. Calculate the greatest common divisor of k and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14\/(-7) + 9\/3 - 205. Let y = w + 266. Is 63 >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((-21)\/(189\/24))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/h**16)**50*h**(-31)\/((h**34*h*h)\/h) assuming h is positive.\nAnswer: h**(-766)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36 + 36.7. What is x rounded to 0 dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 11 = -d, -2*d + 3 = d for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(-6))\/(p\/p**2))\/(((p**(-2\/11)*p)\/p)\/p**(-2\/23)))\/((p\/p**(2\/3))**23*p\/(p*p*p**(-6)*p)*p\/((p\/((p*p*p*p**(-3)\/p*p)\/p))\/p)) assuming p is positive.\nAnswer: p**(-11819\/759)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 AM and 3:17 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/2144 and -40\/2981?\nAnswer: 6391264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 505*k - 505*k + 44*k**5 - 92*k**2 + 92*k**2 - 67*k**5 + (3*k**4 + 0*k + 0*k)*(-5*k + 2*k + 4*k).\nAnswer: -20*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 633 + 635 = 0. Let n = -314 - v. Calculate the remainder when (-2)\/5 - 57\/(-5) is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 256 and 189352?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*l - 1. Suppose 5*n - l*i - 451 = -5*i, 2*n - 5*i = 175. Let q = 156 - n. Is q a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*w - 60 = 75*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 12:45 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-13)\/(-1))\/(-26))\/((-2)\/(-4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 509848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -3790*s - 1519. Calculate the remainder when t(-3) is divided by 24.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 286487, 286391, 286295, 286199, 286103?\nAnswer: 286007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*t - 20602*t**2 + 3 - 20566*t**2 - 3 + 41101*t**2 as q + h*t + k*t**2 and give k.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 4*k + 228 = 0. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(6\/13)\/d**7*d\/d**(1\/3)*(d*d**(1\/3))\/d assuming d is positive.\nAnswer: d**(-72\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40342539?\nAnswer: 3, 383, 35111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5587 is divided by 622.\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 0) + 38 + (-214 - -211).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l\/(l*((l\/l**(2\/3))\/l)\/l)))*l**0*l)**(-15) assuming l is positive.\nAnswer: l**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -30193*u + 2264501. Calculate g(75).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5\/7 + 32\/35. Let x be 4\/26 + (7 - (-56)\/(-26)). Which is the second smallest value? (a) g (b) -4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 291026 a multiple of 149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -76*t**4 + 75*t**4 + 4 - 5 - 2*t**2 to the form d*t + g*t**2 + u + l*t**3 + v*t**4 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t + 1. Let k(q) = -12*q + 1. Let b(n) = -3*k(n) + 3*w(n). Let j(d) = -d. Calculate j(b(f)).\nAnswer: -39*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -25 + 25 + -6 + 0\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54831 is divided by 18155.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4654 and 8?\nAnswer: 18616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1412, 6, 3, 1, -4 in descending order.\nAnswer: 1412, 6, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111132?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 17*y - 15214. Calculate o(115).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 - -4)\/(-6 + 4). Solve m = l + 4*l + 25 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36 - -40.1. Let w = t + -0.1. Let y = -0.0847 - 0.0153. What is the nearest to 0.1 in y, -0.4, w?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**3\/4 + 6*k**2 + 33*k\/4 - 15.\nAnswer: 3*(k - 1)*(k + 4)*(k + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l*l**4)\/l)\/l)\/l*l\/(l\/l**5*l))\/(l**(3\/5)*l*(l**(-3\/5)\/l)\/l*l) assuming l is positive.\nAnswer: l**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 426997463 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 25, 240, 591, 1072, 1677, 2400?\n\"Answer: -r**3 + 74*r**2 - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 316\/32 - 16\/(-128). What is the nearest to 0 in 3\/4, -2\/25, 2\/11, y?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -54*v + 57*v + 4, 0 = -3*v - r + 1. Factor -3\/4*o**v + 9\/4*o - 3\/2.\nAnswer: -3*(o - 2)*(o - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1680464 and 147320?\nAnswer: 1016","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6704 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 8*y**2 + 8*y - 10. Let t be n(-6). Let u be t\/2 - 0 - -3. Let c be (-10)\/(-4)*(-8)\/(-2). What is the highest common factor of u and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -29 - -22 - -162*3. Suppose -45*c = 164 - q. Sort 4, 3, c, 8 in increasing order.\nAnswer: 3, 4, c, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.06 + 2.9. Let o = m + -0.83759. Round o to four dps.\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 84*c*y**3 - 861*c - 6*y**4 + 2 wrt y.\nAnswer: 252*c*y**2 - 24*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - (2 + 2*-1). Factor -2*x**2 + x**2 + x**3 - x - x**a - 2*x**3.\nAnswer: -x*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 b when two letters picked without replacement from {a: 4, t: 5, b: 1, v: 1, f: 3}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -330237\/2236 + 3851\/26. Calculate the common denominator of j and 6\/(-20)*(-19)\/3.\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3414*m - 76 = 3412*m. Solve -m*g + 40*g = -8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 307 + (0 - (-1)\/(-2)*-10). Let t = -934\/3 + b. Factor -4\/3*u**2 - t*u**3 + 0 + 0*u.\nAnswer: -2*u**2*(u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 2*r + 5*a, -3*r - 2*a + 19 = 2 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 36\/(-424)*(-6)\/15 and -17\/55?\nAnswer: 2915","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -150 - -11202?\nAnswer: 11012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -709, -672, -575, -388, -81, 376, 1013?\nAnswer: 1860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of -n**8\/105 + n**5\/24 - 2*n**3 - 21*n**2. Let x(k) be the first derivative of p(k). Find the second derivative of x(z) wrt z.\nAnswer: -192*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 11:11 AM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -729 divided by 758?\nAnswer: -729\/758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/21004 and 25\/4.\nAnswer: 21004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that b**3 + 9869*b**2 - 108656*b + 237120 = 0.\nAnswer: -9880, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -153\/4 - -38. Let z = -7 + -29.1. Let h = z + 31.1. Which is the closest to 1? (a) m (b) -4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*t + 80 = -2*t. Suppose -764 - 371 = -t*d. List the prime factors of d.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 14*w + 3*w = -15*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 3*c = 139, 4*h = -2*c + 6*c + 104. Suppose 33*y = h*y. Factor 0*j**2 + 0*j + y + 4*j**3 - 4\/3*j**4.\nAnswer: -4*j**3*(j - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 4*x**2 - 2*x - 6. Suppose -5*z - 30 = 5*y - 0*y, -z = -2*y - 9. What is the units digit of g(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 182479*l**2. Let b(k) = -19*k**2. Give q(b(u)).\nAnswer: 65874919*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**2 - 133024*s + 266056 = 0. Calculate s.\nAnswer: -66514, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 21\/2 of a kilometer?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12643 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i**(-6\/13)\/i))**(2\/17)*(i**(-5\/4)*i)\/(i*i\/(i\/i**(1\/5))) assuming i is positive.\nAnswer: i**(-4609\/4420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227419 is divided by 618?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1056)\/(-8)*1\/2. Let b = p - 61. Let l(w) = 1. Let q(u) = -u. Let z(o) = 2. Let r(v) = q(v) + 3*z(v). Calculate b*r(t) - 30*l(t).\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -2*q - 24. Let u = -67 + 58. Let y = u - q. Solve 4*w + 3*a - y = 0, -2*a - 3*a = 5*w - 5 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34924736 divided by -28.\nAnswer: -1247312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-23)\/7 - 92\/(-322)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -260, -521, -782, -1043, -1304?\n\"Answer: -261*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4398 and 889862.\nAnswer: 1466","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -h**9\/4536 + h**8\/2520 + h**3\/3 - 2*h. Let i(u) be the second derivative of p(u). Factor i(a).\nAnswer: -2*a**4*(a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 476 and 605268?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 3*f)*(f - 3*f + 5*f) - 754*f**2 - 588*f**2 - 228 + 228 - 901*f**2 - 2 + 2*f**2 + 2.\nAnswer: -2250*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11.4 - -11.7. Let p = -11 + 14. Let u = -1 + p. What is the closest to -4 in v, -1\/4, u?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27145, 27144, 27143, 27142?\nAnswer: 27141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/296896 and 5\/148448?\nAnswer: 296896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-2 + (-42)\/(-20)). Suppose -f - i + 0 = 0. What is the least common multiple of f\/25 - 47\/(-5) and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5722183967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10633333*c*h*s + 194075054*c*h + 3*h*s + s with respect to s.\nAnswer: -10633333*c*h + 3*h + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/h**14)**(-12) assuming h is positive.\nAnswer: h**144","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-124168)*17*66\/6\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y + 8*y = -50. Let n be (y\/6)\/((-3)\/(-162)). Suppose 0 = p + 2*q - 40, 3*p - q - 18 = 88. Calculate the greatest common factor of p and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26726 - 26226. What is the highest common factor of p and 1125?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 l when two letters picked without replacement from wouoaxl?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pn when two letters picked without replacement from spnpnsppppsps.\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yvvvyy. What is prob of picking 1 v and 2 y?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4294304189?\nAnswer: 7, 87638861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fuc when three letters picked without replacement from ccfzcucfccccccc.\nAnswer: 11\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 a factor of 424410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/45 - 8\/(-20))*15. Solve -4*u + 2*b = 12 + 4, 0 = u + 4*b - z for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 95046 - 3?\nAnswer: 95043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00090676 rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.016757 to four dps.\nAnswer: 0.0168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 25034, 25080, 25128, 25178, 25230?\n\"Answer: x**2 + 43*x + 24990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4 - 17*p**3 - 38*p**2 + 56*p.\nAnswer: -p*(p - 1)*(p + 4)*(p + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - 3*u**2 + 3*u**2 - 4*u**4)*((-3 - 2 + 4)*(-3 + 1 + 0) + 0 - 2 + 3).\nAnswer: -12*u**4 - 6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, i: 1, g: 1, b: 1, y: 1, f: 2}. What is prob of sequence ibg?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/17 (b) -0.001 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1591 - -3643. Is i a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.682 - 0.182. Which is the closest to 2\/13? (a) l (b) -5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -54*b**3 - 22*b. Let u(h) = -h**3 - h. Determine 4*s(r) - 88*u(r).\nAnswer: -128*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**2*n*n*n**(2\/7)*n**(4\/7)\/(n*n**(-3\/5)))**(-33) assuming n is positive.\nAnswer: n**(-5148\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3 + 0*y**3 + y**3 + 1. Let r(v) = v - 14. Let x be r(11). Let m(i) = -2. Let h = 2 + 0. Determine h*t(k) + x*m(k).\nAnswer: 2*k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 104\/7 or 391371?\nAnswer: 104\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.475, 2\/19, 516?\nAnswer: 516","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-20)\/12)\/((-3)\/18). Let f(a) = -a**2 + 13*a - 14. What are the prime factors of f(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 11, i: 5}. What is prob of sequence iiq?\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6\/37 (b) 45 (c) 2 (d) 1633\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 1.8. Let b = 61 - 61. Does g = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - c + 89 = 2*p, 0 = -c - 2*p + 27. Let y = -7 + c. What is the highest common divisor of 96 and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 5*s**2 + 1165*s - 190920 = 0.\nAnswer: -344, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118100384.\nAnswer: 2, 311, 11867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3 + 209*w**2 + 11439*w + 86751.\nAnswer: (w + 9)*(w + 81)*(w + 119)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + 3. Let w = z + 30. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 26 = -2*i. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.585600282 to one decimal place.\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -3254?\nAnswer: 3303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 2\/3, 1, 12?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t**3 + 4*t**2 + 6*t + 3. Let r be s(-2). Calculate the greatest common divisor of r and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 5*o + 17 - 18 + o. Let a be c(16). What is the third derivative of 9*g**2 + 6*g**2 - 98*g**6 + a*g**6 wrt g?\nAnswer: -360*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10091 - -9997.51. Round u to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/27, -21, -2 in decreasing order.\nAnswer: 2\/27, -2, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/15 and -6\/5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -16942a?\nAnswer: 169430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-3))\/(-2)*(-915)\/122.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p**(-2\/5))**(-29))**4)**(-1\/5))**(-1\/14) assuming p is positive.\nAnswer: p**(116\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 297 - 138. Does 20 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 4*t - 4027, 2*u - 2378 = -4*t + 1664. Let s = -1009 + t. Factor s - 3\/4*n + 1\/4*n**2.\nAnswer: n*(n - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 n, and 1 j when three letters picked without replacement from nnrnrrjnnrjrr.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3114138 divided by -3\nAnswer: 1038046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15129?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, 367, 1425, 3485, 6883, 11955, 19037, 28465?\nAnswer: 40575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2985 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -485, -1990, -4529, -8108, -12733, -18410, -25145?\n\"Answer: -b**3 - 511*b**2 + 35*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 14 = j. Let x(a) = -3*a + j - 2*a + 0*a - 2*a + a**2. Give x(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = 2*q + 54571, 0 = t - 3*t + q + 15590. What is the greatest common divisor of t and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 - -1 - (-78 - 15) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**2 + 2*t - 2. Let n be i(2). Suppose 14 = 2*g - n. Solve -2*p + g = 2*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94 + 11 = -11*v + 3*d, v - 1242*d + 1254*d = 15 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 762\/10)*(11 - (-85)\/(-10)). Solve -6*b - k + 224 = 0 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121111101010102 (base 3) to base 16.\nAnswer: 85c36d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 836 and 228?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-912)\/(-2432))\/(15*(-1)\/((-4)\/(-1)))\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245)*-1)**2 + (sqrt(5) - ((0 + sqrt(5))**2 + 2)) + sqrt(15)\/(2*-2*sqrt(3)).\nAnswer: 3*sqrt(5)\/4 + 238","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2537837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = 707*q - 1415*q + 706*q - 126, 3*n + 315 = -5*q for q.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 - 1238 = -191*v + 4096 for v.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tmmwtmgm. Give prob of sequence wtgm.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 9*g**2. Let f be c(9). Suppose 0*r + 5*r - 10 = q, -5*r + 5*q - 10 = f. Find the second derivative of -s**r + s**3 - 3*s + s**4 wrt s.\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*l + 7336 = 44*l. List the prime factors of l.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 + 36 - (-3 - -1 - -4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14 - (8 + -8 + 4). Calculate the greatest common divisor of 60 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(105)\/(sqrt(3) + sqrt(27) + sqrt(3)))\/((sqrt(70)\/sqrt(18) + sqrt(35))\/sqrt(7)).\nAnswer: 9*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.47 + 1.63. Round q to zero dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -66*f + 36. Give m(5).\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z - i = 2*z - 9, 2*i = 4*z - 14 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -1 - 2*j + 0*j + 3319*j**2 - 3320*j**2. Calculate a(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmfrmfmfrm. What is prob of picking 1 m, 1 f, and 1 r?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - 32*h + 184. Give v(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 - 22.3. Let a = z - -0.7. Sort a, -3, 0.3 in increasing order.\nAnswer: -3, 0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -2 (c) 1 (d) 0.17 (e) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 0.9800359?\nAnswer: 1.9800359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.17, -1\/5, -2\/3, -65, 1, -2?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 24*l - 142. Determine n(13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 0 + 12 + -13?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*1*(sqrt(15) - sqrt(45)\/sqrt(3))\/sqrt(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in nineteen quarters of a hour?\nAnswer: 17100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8996 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 3*l = 4*a + 5, 2*l - 22 = -5*a. Solve a*x + 5 + 5 = 3*v, -4*x = 4*v + 24 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -7*d - 5. Let m(l) = -23*l - 14. Let j(r) = -8*r - 5. Let o be 4\/6 + 8\/(-3). Let y(k) = o*m(k) + 7*j(k). What is -7*x(p) + 5*y(p)?\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g + 3*g - 4 + 1. Let f be a(6). Suppose 5*z - 6 = f*z. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 - 2. Suppose -5*z + x = -11. Which is smaller: z or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24639440 divided by 6440?\nAnswer: 3826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47181?\nAnswer: 3, 15727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (156699 + -542)*1*(-1)\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -77 + 79. Suppose -g*u = u - 1371. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 46*k**2 - 48. Let a(m) = 17*m**2 - 16. Let b(j) = 8*a(j) - 3*h(j). Let t(f) = 6*f. Give t(b(d)).\nAnswer: -12*d**2 + 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 12283440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -6*(-2)\/((-20)\/(-205)).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + 8*f - 62. Let u be b(-10). Is 10\/35 + (-50934)\/u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -93, -266, -355, -318, -113, 302, 969?\nAnswer: 1930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.456263 to 3 decimal places.\nAnswer: -1.456","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1670*r**2 + 2*r**3 - 10*r**3 - 2*r**3 + 8*r**3 - 3061 wrt r?\nAnswer: -6*r**2 + 3340*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(34)\/sqrt(2))**2*-2 - sqrt(1088)*4).\nAnswer: -32*sqrt(17) - 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 58\/(-319) - 268\/(-22). Solve -3*f - 4*y = -1 + 4, a = -4*y for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -142*0.5\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 23135 at least as big as 23134?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/5 - -1)*1. Let n = 1 - -1. What is the biggest value in n, -5, f?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-2020)\/280 - (-1)\/2.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -42 + 7 + 37.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of -f**5\/15 + 3*f**2. Let y(x) = 2*x. Let l(c) = 10*c. Let i(h) = 2*l(h) - 11*y(h). Give i(d(t)).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 29*g - 87. Let a(l) = 14*l - 43. Let f(z) = -14*z + 43. Let w(x) = 2*a(x) + 3*f(x). Let s(j) = -6*n(j) - 13*w(j). What is the units digit of s(15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 6 + -11 + (9 + -21 - -14) + -106.\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in eleven halves of a microgram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -82\/21 and 107\/3240.\nAnswer: 22680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55426 and 315?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7907670 and 96?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - 1365\/(-189)) + (-1 - (-31)\/36).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.07, 2, -95\/4729 in decreasing order.\nAnswer: 2, -95\/4729, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 594774.4s in nanoseconds?\nAnswer: 594774400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that f**3\/9 + 10575623*f**2\/3 + 83882846090785*f\/3 - 251648569999225\/9 = 0.\nAnswer: -15863435, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -8*m + 66, -4*z - 38 = -4*m - 50. Let q be (1 - 4)\/((-6)\/4). Suppose -14 = -q*x + 36. What is the remainder when x is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 388634?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69407*q**2 - 139458*q**2 + 70082*q**2.\nAnswer: 31*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-29 + 1)*2\/(-4). Let a = 8 - u. Let v = -2 - a. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - 7*z + 14. Let g be w(4). What is the second derivative of 15*u - 24*u**g - u - u wrt u?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of i**5\/120 + 5*i**4\/4 - 31*i**3\/3 - 6433*i**2. Let r(f) = 0. Calculate f.\nAnswer: -62, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-1))**45*m**(-3)\/m**(-14))**21 assuming m is positive.\nAnswer: m**2121","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 596371 divided by 30\nAnswer: 596371\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7574685?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -3 (b) 5 (c) -9 (d) -0.4 (e) 2 (f) -1 (g) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7610*v**2 - 210*v + 13779011.\nAnswer: 15220*v - 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3*c**3 - 7*c**2 + 11*c. Let h be (12 - (-100)\/(-5)) + 10. Let o(v) = -v**3 + 2*v**2 - 4*v. Give h*p(y) + 7*o(y).\nAnswer: -y**3 - 6*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 121 = 5*u, -u + 5*f = 4*f - 25. Find the common denominator of 2\/(u\/142) + -2 and -2 + 2 - 31\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1661 less than -2.70032?\nAnswer: -2.86642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2. Let w be ((-5)\/(-10) + -1)*-24. Let l(j) = -w - 10 + 27 - 4*j. What is l(r(p))?\nAnswer: 4*p**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, q: 2, f: 4, j: 7}. Give prob of picking 2 q and 1 m.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a litre in millilitres?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 a when two letters picked without replacement from dapzf?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 43630*b - 916207. Determine w(21).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 203827?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*t - 22*t - 6. List the prime factors of t\/2 + (-3)\/((-42)\/6839).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i. Let b(x) be the first derivative of -x**6 - 19*x**3\/3 - x**2 - 23. Let d(j) = -b(j) - 2*m(j). Find the third derivative of d(n) wrt n.\nAnswer: 360*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -3*d - 34648, -3*d + 6*d = x - 8653. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 13*y - 10. Let c(b) = 7 - 318*b + 86*b + 115*b + 108*b. Give 7*c(m) + 5*p(m).\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-658)\/378)\/(-47)*(-1 - (-78)\/42)\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1211318 divided by 26333?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1765621897?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6*1*4\/6. Suppose -f = 3*o - 7*o. Let s = 25 + -20. Solve -o - s = 2*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 116.0042571 to two decimal places.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 5*b + 9 = 0. Let v be (4\/(-6))\/((-2)\/b). Suppose 0 = -r - 3, v*r + 1 = -0*c - 2*c. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145 is divided by 106.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 205581691?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 784?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -1\/5*y**5 - 3630*y**3 + 44*y**4 - 1830125*y + 0 + 133100*y**2 = 0?\nAnswer: 0, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144786005809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5331288 and 192?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2310112 - 1110?\nAnswer: 2303002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -76 and 0.4.\nAnswer: -30.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 66*l**6 - l**3 + 9*l**2 - 5*l. Let m(d) = -197*d**6 + 2*d**3 - 26*d**2 + 15*d. Let q(a) = 8*i(a) + 3*m(a). Find the third derivative of q(v) wrt v.\nAnswer: -7560*v**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 222, 261, 362, 555, 870, 1337, 1986?\nAnswer: 2847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.26 rounded to 0 decimal places?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + d = -4*q, -3*q - 10 = 4*d. Let m = -1 + 3. Let c(p) = 5 + m - 2 + p. Determine c(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 11:34 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -4 + 3*((2*sqrt(343) - sqrt(343)) + 4) + -3)**2.\nAnswer: 252*sqrt(7) + 3123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 287 = 31. Let j = b + 67. Solve j*r + 7 - 1 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1343 + -16069\/12. Find the common denominator of 35\/12 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4264819 a multiple of 714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10\/33 + -3\/22. Determine s, given that -1\/6 + 1\/6*s + c*s**2 - 1\/6*s**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 195*x = 194*x - 10, -5*x = 20 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-74424)\/32 - 6)*12\/(-7182). Let x = 36\/133 + y. Solve -5\/6*a**2 + 5 - x*a = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*x - 20*x - 18*x + 26*x**2 to k*x**2 + w*x + l and give k.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17684 + -2?\nAnswer: 17682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s**3 - 136 - 2947 + 1579 + 1504.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 585, 5, -2264 in decreasing order.\nAnswer: 585, 5, -2264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*o**5 - 7*o**3 - 3*o**2 - 138*o?\nAnswer: 960*o**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/((-525)\/(-80)))\/((-7)\/((-147)\/14))?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1266215 is divided by 11107.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9169 or -9179?\nAnswer: -9169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 9, -37, 1\/4, 6, -0.3, -7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53254?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*r + 218*r + 1645 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 399?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2047*u - 1016*u - 149 - 1027*u as k*u + r and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12 - 155?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3 + 7*d**2 - 92*d + 84.\nAnswer: (d - 6)*(d - 1)*(d + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -0.1 (b) 3\/2 (c) 1\/482\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 631, 1239, 1833, 2407, 2955, 3471, 3949, 4383?\nAnswer: 4767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 4*h = -37, q - h = 3*h - 7. Let p be 10\/25 - (-43)\/q. What is the highest common divisor of 36 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of 0*h**5 - 3\/7*h**8 - 27*h + 0*h**7 + 0*h**6 + 7\/4*h**4 + 0 + 0*h**2 + 0*h**3. Find the third derivative of y(k) wrt k.\nAnswer: -2880*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-38)\/(s*s**23\/s))**(-22) assuming s is positive.\nAnswer: s**1342","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of 4*s**2 + s + 4. Give f(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08164546 rounded to four decimal places?\nAnswer: -0.0816","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4933 is divided by 93.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 6*k + 2. Put k, -4, 2, -2 in decreasing order.\nAnswer: 2, k, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-958)\/(-10) + (-2)\/(-10). Suppose 0 = 3*r + r - f. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22294?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwee when four letters picked without replacement from {w: 4, e: 10}.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -157097.47 to the nearest 10000.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -128864 - -128876. Let v be 46\/((-3)\/(9\/(-6))). Is v < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(3\/8)\/(o*o*o**18*o)*o*o**(2\/3)\/o*o*(o**29*o)\/o assuming o is positive.\nAnswer: o**(241\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 8 = 7*r. Is ((-34)\/8 - r\/16) + 151 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4621.99982124 + 4622. Round b to six dps.\nAnswer: 0.000179","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4026824172 a multiple of 252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 12*d**2 + 35*d - 20. Let r be m(8). Let x(o) be the second derivative of o**4\/12 - o**3 + o**2 - 3*o. Give x(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + 1. Let h = l - 9. What is the closest to -1 in -2, h, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -91, -89, -97, -121, -167?\n\"Answer: -l**3 + l**2 + 6*l - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005954 to six decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of 211*h**6\/2 - 343*h**3\/3 + h**2\/2 - 1267. What is the third derivative of i(f) wrt f?\nAnswer: 37980*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -5*c**3 - 124*c**2 + 29*c + 104. Let z be p(-25). Solve -9*j + 13*j = z for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) 2.2 (b) 1\/2 (c) 1.7 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -996*f**2. Let l(a) = 18*a**2 + a. Let m(i) = 25*i**2 + i. Let w(x) = -l(x) + m(x). Determine p(w(o)).\nAnswer: -48804*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 90782?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -5d4948?\nAnswer: -5d4946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -37*f**2 - 85*f + 148. Is j(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 22 = -4*w, -m + 3*m + 13 = 3*w. Suppose 122 = v - 2*a, 7*a - w*a - 236 = -2*v. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205786329 is divided by 92.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2475*f - 2053*f + 15*f + 582*f)*(f - 2 + 2).\nAnswer: -3931*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 - 3)*(0*a**4 + 3*a**4 - a**4 + (-4*a**2 + a**2 + 2*a**2)*(2*a**2 - 2*a**2 - a**2) + 28*a**4 - 5*a**4 - 5*a**4).\nAnswer: 42*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*p - 26*p = -8. Find the second derivative of 12*v**3 + 16*v**p - 56*v + 22*v**4 - 35*v**4 wrt v.\nAnswer: 36*v**2 + 72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -486*r = -482*r - 35829 - 112203. List the prime factors of r.\nAnswer: 2, 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 86285641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 take away 1.36?\nAnswer: -27.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - 3*y. Let x be l(-4). Let i be 12\/x - (-1 + -4). Let b(p) = p**3 + 10*p**2 - p - 7. Let o be b(-10). Solve i*w - 1 = o for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2000.97 * 5\nAnswer: 10004.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 0 - (10 + -1)) + (0 - 0).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1353 + 1355.635. Round y to 1 decimal place.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of m**6\/80 + 19*m**4\/12 - 7*m. Let s(j) be the third derivative of i(j). Let z(t) = -5*t + 3*t + 3*t. Determine z(s(r)).\nAnswer: 9*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (4 - -92)) + (55 + -68 - (-1 - 15))\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*g + 0*g - 4*g)*(46*g + g + 69*g + 32*g).\nAnswer: 296*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5 - 4)*(-3*n**3 - n**3 + 2*n**3) + (-2*n - 2*n + 5*n)*(n**2 + 4*n**2 - 4*n**2) + (3*n - 4*n + 3*n)*(0*n + 0*n + 2*n**2).\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 366 is divided by 62.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3962\/15 + -264. Let m(f) = -2*f - 4. Let s be m(-4). Suppose 3*y = -s + 1. Is n <= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 4. Let i be v(-3). Suppose 9*b - 132 = i*b. Let z = 36 - b. Is -5 smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.1468, 2, 1?\nAnswer: -0.1468","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -47 + 4?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 467174?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 314694858?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 10:15 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 - 4*q - 3. Suppose -30 = -7*h + 12*h. Is 4 a factor of k(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -9*z**3 + 62*z**2 - 5*z + 2. Let b(f) = -5*f**3 + 31*f**2 - 3*f + 1. What is 7*b(p) - 4*o(p)?\nAnswer: p**3 - 31*p**2 - p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24581733?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 5:08 PM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189847 is divided by 76?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38218?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 170 divided by 170.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 4 + 2 + -5 + sqrt(17))**2.\nAnswer: -4*sqrt(17) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v + 13*v + 6*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 + 0.3. Suppose 2*o + t - 13 = 0, -5*t + 1 - 6 = 0. Let f be 2\/o - 12\/91. What is the biggest value in g, -1\/7, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 AM and 2:05 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u + 136 - 253 + u**2 - 3*u**3 + 4*u**3 + 133. Give m(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/2207 + 130219\/13242. Let p = n - 401\/42. Let 2\/7*h**3 - 2\/7*h + p - 2\/7*h**2 = 0. What is h?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 5:59 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 43 - 47 - 2*-2. Solve 3*i + 22 = -5*k, 3*k + 4*i - 5 + 16 = v for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139138495 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -5*y**3 - 2*y**2 + 6*y - 4. Let w(s) = -3*s**3 - s**2 - s - 1. Let f(d) = 8*d**3 + 3*d**2 + 2*d + 3. Let m(x) = 2*f(x) + 5*w(x). Give -g(n) - 4*m(n).\nAnswer: n**3 - 2*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3625.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9.5 + 9.369. Let h = -0.311 - k. What is the closest to -1\/3 in h, -5, 0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p**2 - 5*p + 4. Let f be q(10). Is 155 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c + 572 - 577 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 99351 and 761691?\nAnswer: 2285073","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*k**3*t**2 + 460*k**3*t - 2*k**2*t**5 - 18*k*t**2 - 5*k - 1 wrt t.\nAnswer: -6*k**3 - 40*k**2*t**3 - 36*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -10, -38, -80, -142, -230, -350, -508?\n\"Answer: -l**3 - l**2 - 18*l + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000006279856 to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -3797707?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2557 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3 - 7*t**2 + 6*t + 1 + 8*t**2. Let x(s) = -s**2. Let a(z) = h(z) + 2*x(z). Let r be a(5). Solve -r*y = -y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 r when three letters picked without replacement from gccrvvrvgtrx.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -6*sqrt(22)\/sqrt(2)*4 - (3*sqrt(99) + -2)*-2.\nAnswer: -6*sqrt(11) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 102 or 41?\nAnswer: 102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 7 - 7 + 5 - 10 + 268*l**2 + l in the form a*l + t*l**2 + r and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 100, 103, 108, 115, 124, 135, 148?\n\"Answer: o**2 + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l + 2085*l**3 + 12*l + 6 - 12*l.\nAnswer: 2085*l**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*g**3 + 1906*g**2 - 2684*g + 768.\nAnswer: 2*(g - 1)*(g + 192)*(5*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3. Let l(x) = 7*x**3 - 2*x**2. Let k = 10 + -16. Let q(y) = k*z(y) - l(y). What is the third derivative of q(r) wrt r?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - 2545b?\nAnswer: -25456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 - 33*w + 64. Let l be c(31). Let b(o) = -o**2 + 6. Let n be b(0). Let v = n - 4. Solve -l*y - 4 = v*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and -1.67562077028376?\nAnswer: 2.07562077028376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 42 = -d. List the prime factors of 2\/((-2)\/2) + d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -693 + 691.054. Let n = 0.054 - t. Which is the third biggest value? (a) -0.07 (b) 0 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 954729 + 2*r - 954729 + 2*r**3 - 34*r**2 in the form h + m*r + g*r**3 + v*r**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9 or -68?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1828368 by -8.\nAnswer: 228546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.18 - -2.82. Which is the nearest to -1\/5? (a) 0.2 (b) h (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - 9*m - 31. Let p be g(12). Solve 10*w - 10 = p*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 18 = 3*f. Let k(m) = -6*m + 296. Let y be k(48). Let d = f - y. Solve 0 = j - d*j + 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 350 and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 + i + 24. Let u be a(0). Suppose -76 = -4*d + u. What is the remainder when d is divided by 2\/6 + 76\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 61155239?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -5*h + 12. Suppose h*u - 2 - 2 = 0. Let s(r) = -5 - 4*r**2 + 4*r + r**3 - u + 4 + 0*r**2. What is s(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 63 times -4\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 3*u - 105 = 0, -2*a + 5*u = a - 57. Let h be 6\/10 - 57\/(-5). Calculate the highest common factor of a and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*(h\/(h*h*h**2\/h))\/h*h))**(-4\/19))**(-15) assuming h is positive.\nAnswer: h**(120\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 2, -2*z = 5*y + 2. Suppose 4 - 20 = -4*v. Let i be (-222)\/216 - v\/18. What is the third biggest value in i, z, -2\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ikg when three letters picked without replacement from tiiiguiutiiiskikg.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -315 + 320. Suppose -488 = k - l*k. What are the prime factors of k?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*y - 10*y + 8*y)*(8*y - 6*y + 3*y + 5*y + 0*y + 0*y + 0*y - 2*y + 0*y - 1 + 2*y + 1 + (1 - 1 + 2)*(2*y + 0*y + 0*y)).\nAnswer: 518*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 94425, 94306, 93983, 93354, 92317?\n\"Answer: -17*r**3 + 94442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of 1\/6*o**3 - 2*o**2 + 0 - 1\/4*o**4 + 0*o. Let d(p) = p. Let m be -2*((-22)\/(-4))\/(-1). What is m*d(u) + 2*y(u)?\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 27356699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -120? (a) -109 (b) 41 (c) -9 (d) 2 (e) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 5*v + 85 = -30, -5*v - 1 = k. What is the remainder when k is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/7 + 170738*w**2\/7 - 341482*w\/7 + 170742\/7.\nAnswer: 2*(w - 1)**2*(w + 85371)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 4022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of -d**4\/24 - 3*d**3\/2 - 6*d**2. Let l be o(-6). Does l = -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, q: 1, w: 2, j: 2, n: 2}. Give prob of picking 1 w, 1 q, and 2 n.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/11 and (99\/150)\/((-1222)\/(-10) + -3)?\nAnswer: 65560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -6\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**4\/6 - 65*i**3\/6 + 115*i**2\/6 - 55*i\/6.\nAnswer: 5*i*(i - 11)*(i - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-12\/5)*(((c**(4\/3)\/c)\/c*c)\/c)\/c*(c\/c**(3\/16))**(6\/11))**(-21\/5) assuming c is positive.\nAnswer: c**(24241\/2200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-600)\/(-15)*(-20)\/(-2)*50850. Round m to the nearest 100000.\nAnswer: 20300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rej when three letters picked without replacement from {h: 1, e: 1, r: 3, o: 1, j: 4, c: 2}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 58 (b) -0.2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2652)\/(-11050))\/(1\/((-45)\/(-6))).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (125\/(-6))\/(-5) + 5\/(-30)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1167356473 to the nearest integer?\nAnswer: 34167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-16)\/(-40) - (-86)\/10. What are the prime factors of 9\/(f\/2) + 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7634 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - 6*n + n)*(0 - 3 + 1)*(-3 - 6 + 3).\nAnswer: -24*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/12*3 - 0.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 9. Suppose 0 = -3*w + 22 + 38. Suppose -5*t - s + 70 = 20, -d*s = -w. Calculate the lowest common multiple of t and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -6*p - 40. Let i = 51 - 59. Let j be v(i). Let k = 7 - j. Let q(b) = -17*b**3 + b. Calculate q(k).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195*t + 1030 + 5470 = 650 for t.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3457041.8 rounded to the nearest one thousand?\nAnswer: -3457000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 14. Let r(h) = 2*h**2 - h + 29. Let w(z) = 9*m(z) - 4*r(z). Let c be w(-4). Solve -j = j - c for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -85963 divided by 2773?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/31110880 and -17\/21777616?\nAnswer: 217776160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 52*f**3*v**3*x + 2*f**3*v**3 + 2*f**3*v**2*x**2 + 2*f**3*v*x + 3*f*x**2 + v**3*x**2 - 3*v**2*x**2 wrt v?\nAnswer: 312*f**3*x + 12*f**3 + 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1345 divided by 7848.\nAnswer: 1345\/7848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of -g**9\/3780 + 3*g**5\/40 - 11*g**4\/12 + g. Let y(v) be the third derivative of r(v). Find the first derivative of y(x) wrt x.\nAnswer: -16*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -29 + -3395?\nAnswer: -3413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, r: 10, q: 1, c: 1}. Give prob of sequence crv.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -498721*i**4 - 2377483 wrt i?\nAnswer: -1994884*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -3970.2052 to the nearest integer.\nAnswer: -3970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28638138, -57276277, -85914416, -114552555, -143190694?\nAnswer: -171828833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 5*l**2 - 3*l - 17. Suppose -4*n = -7*n - 21. Is u(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (68\/(-16))\/(2\/(-8)). Suppose -4*k - 2*l = -14, -3*k + d = -4*l - l. Let t be 8\/(-6)*(-5 + 8). Sort -3, t, k in decreasing order.\nAnswer: k, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1321 (base 4) in base 7?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-1))\/((-232)\/(-11368))*1\/2.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g = -24*g + 432. Suppose 2*s = f + 406, -5*f = -25*s + g*s - 382. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9*(-12)\/36)\/(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177 - 179 - 693*n + 356 + 361*n.\nAnswer: -332*n","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = 5*k - 5*j - 1105, -2*j + 890 = 4*k. Suppose 9*f = -f + k. Is f even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + 4*i**2 - 6*i - 3. What is h(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 5*p = -p + 481, y - 2*p - 95 = 0. List the prime factors of y.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 PM and 6:39 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lz when two letters picked without replacement from {m: 3, z: 1, u: 1, l: 1, v: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -7*t + 3. Let q(i) = -14*i + 5. Suppose 21 = -h + 4*h + 3*f, 3*f - 15 = 0. Let m(a) = h*q(a) - 5*y(a). What is the tens digit of m(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 33201708 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-4) + 49\/14. Solve -d*g = 5*o + 10, -g - o = 2*g + 14 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -55834521\/8 or -6979315?\nAnswer: -55834521\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3cc8 + 18?\nAnswer: 4013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 92.04919 micrograms?\nAnswer: 0.00000009204919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4388, 7377, 10366, 13355?\nAnswer: 16344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ews when three letters picked without replacement from seewkwwelss?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 33\/(-297)*204*15\/(-2). Which is greater: p or 2739\/16?\nAnswer: 2739\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 + -26)*13\/8. Let d = j - -36. What is the closest to d in -7, 4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -47*a**3 + a**2 + a + 1. Let w be d(-1). Let b be (-1 - (-38)\/4)*-2. Let y = w + b. Calculate the remainder when y is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -k + 3, 10*h - 7*h - 2*k = 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8719.5, -3, -4, 4.\nAnswer: -4, -3, 4, 8719.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 233, 186, 137, 86, 33, -22, -79?\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 20*u**3 + 2*u**2 + 2*u + 2. Calculate v(-2).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**4 - 4*p**4 + 4*p**4 + (-2 + 4 - 14 + (0 - 3 + 2)*(-2 + 2 - 2))*(-p**4 + 0*p**4 + 0*p**4).\nAnswer: 11*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (2004 - 252*s - 2004)*(-4*s - s + 3*s) in the form w + z*s + h*s**2 and give h.\nAnswer: 504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**3 + v**3 + 2*v**2 - 2*v**3 - v**3 + 5*v**3 - 5*v**3 + (-3 + 3 - 2*v**2)*(v + 2*v - 2*v) + 160*v**2 - 74*v**2 - 85*v**2 - 26*v**3.\nAnswer: -31*v**3 + 3*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 34299569 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 2*b + h = 0, 0 = 2*b + 5*h + 22. Let d be b + 93\/13 + 42\/(-273). Solve d*p - 5 = 7*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p + 19*p - p)*(1204 - 1204 - 15*p**3).\nAnswer: -315*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + b = -236659, -6*b = -3*h - 9*b + 177498. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8\/15)\/2)\/((-57)\/10 + 6)?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -5*z**2. Let o(v) = -v + 39. Let k(m) = 18. Let u(w) = 13*k(w) - 6*o(w). Determine b(u(l)).\nAnswer: -180*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1864 divided by 28.\nAnswer: -466\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -5*y**3 + 146*y**2 - 29*y + 18. Give z(29).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a9397 (base 13) to base 16.\nAnswer: -4ab5e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + -2. Let g be 5\/20 - 71\/x. Let -2*a**2 + 10*a**4 - 16*a**4 + 9*a**5 - 6 - 5*a + 14*a + 14*a**2 - g*a**3 = 0. Calculate a.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8587\/45 + -191. Let l = x - -16\/9. Factor l*q - 2\/5 + 8\/5*q**3 - 12\/5*q**2 - 2\/5*q**4.\nAnswer: -2*(q - 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118584.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000752025 rounded to five decimal places?\nAnswer: -0.00075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/82 and -79\/602756.\nAnswer: 24712996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 141, 142, 143, 144?\n\"Answer: x + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21.09 + 21.1. What is the second biggest value in q, 2\/15, 0.2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + (-3 - -4) + -62. Find the common denominator of (74\/(-88))\/(1\/(-6)) and (24\/g)\/(6\/(-59)).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.8 - -4. Let t = 14 + -11. Let n(j) = -j**3 - 15*j**2 + 16*j + 1. Let u be n(-16). What is the nearest to 0 in u, t, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k**2 + k**2 + 3*k**2 + (3 - 3 + 1)*(2*k**2 - 3 + 3) - k**2 - 2*k**2 + 4*k**2 - 4*k - 1 + 18*k**2 + 16*k**2 - 36*k**2 as u + n*k + a*k**2 and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c - 33. Let f(l) = -l - 50. What is 5*f(z) - 7*i(z)?\nAnswer: 2*z - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -3, 0, 3\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 498593, 498590, 498585, 498578, 498569, 498558?\n\"Answer: -s**2 + 498594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64240493?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 7, j: 3}. Give prob of sequence jjjl.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 3*l = 2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - 32*q + 71. Let s be v(-35). Are s and -23 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -65962, -131679, -197398, -263119?\n\"Answer: -r**2 - 65714*r - 247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 5 - y - 4 + 0 + 1. Determine i(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*r - 9*r + 21 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -61.99999946 + 62. Round u to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13225 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 69.41 and 0.2?\nAnswer: 13.882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, f: 2, r: 8}. Give prob of picking 1 c and 1 f.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z - 5. Let h(c) = 1 - 8 + 1 - 3*c. Let f = 328 + -324. Calculate f*h(x) - 5*s(x).\nAnswer: -2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 74\/5 - 15. Let j(s) = -2*s - 16. Let v be j(-7). Let n be 4\/(-48) - v\/(-8). Which is the second biggest value? (a) l (b) n (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t**2 - 15*t - 13. Let s be z(6). Let o be 2\/s*5*(1 - -8). Solve -a + 13 - o = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -321 (base 4) to base 7\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/6, -0.1, 4\/19, 848, -1\/2.\nAnswer: -5\/6, -1\/2, -0.1, 4\/19, 848","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 3:47 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*z = -27 - 30. Suppose 3*g + 9*g = z*g. Solve 0*x + 5*c - 16 = 4*x, g = -2*x - 5*c - 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21.39 * 0.0076633.\nAnswer: -0.163917987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14224510131 + 1?\nAnswer: -14224510130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of 2*x**6\/15 - 16*x**5\/25 + x**4 - 8*x**3\/15 + 216. Factor z(m).\nAnswer: 4*m**2*(m - 2)*(m - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1.9, -0.3, 0.2, -4\/85, -0.1, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - 5 - 2\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -205 in -0.3, 5, -2\/145?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**3 - 40*h**2 + 60*h.\nAnswer: 5*h*(h - 6)*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-3 + 3 + -7) - 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02149417 rounded to 4 decimal places?\nAnswer: 0.0215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 261, 260, 267, 288, 329, 396?\n\"Answer: u**3 - 2*u**2 - 2*u + 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of 1\/30*y**4 + 1\/75*y**5 - 1\/150*y**6 - 2\/15*y**3 - 2*y**2 + 0*y + 18. Let n(m) be the second derivative of r(m). Factor n(a).\nAnswer: -4*(a - 1)**2*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -320*n**2 - 8*n + 328. Let v(y) = y**3 + y**2 + y - 3. Let x(p) = -b(p) - 4*v(p). Factor x(l).\nAnswer: -4*(l - 79)*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1)*(-2 + 2*i**3 + 2)*(i**2 - 2*i**2 - i**2) + 2*i**5 - 2*i**2 + 2*i**2.\nAnswer: 6*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4652 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 - (-2 - -1) - -2. Let i be 4\/(-6)*(f + -5). Suppose 0*r - i*r = 5*t - 13, -t = 4*r + 7. Solve -3*y - 4*q + 25 = 0, -3*q + t*q - 8 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*q + 67 - 67.\nAnswer: -34*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*h - 77 = -185. Let g(l) = 5*l**2 - l. Let i be g(-1). Suppose s = 4*p - 381, -h*s + s = -i. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 69\/5*s + 64\/5 + s**2 = 0.\nAnswer: -64\/5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 4*m**2 - 1. Let y = 2 + -3. Let f be l(y). Suppose -f*u + 5 = -19. Solve -3*a = a - u, -3 = -3*b - 3*a for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25108 - 25108. Is i bigger than 2\/56359?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -1) + (-1 - ((-15 - -21) + -6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -13*u + 32. Let h(z) = -z**3. What is h(u)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of -31*q**3\/2 + 5*q**2\/2 - 7*q. Let p be 0\/1 - 1 - 1. Is m(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2 + -1*(-1*sqrt(1573))**2 + (-1*((sqrt(325) - (sqrt(325) - (sqrt(325) + -1*sqrt(325) + 0)) - sqrt(325)) + -3 + 0 + sqrt(325) + sqrt(325)))**2.\nAnswer: -1245 - 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 5*o**2 + 7*o + 3. Let f be 7 - (-40)\/16*(-120)\/25. Let k(v) = v**2 + v. Give f*k(q) + n(q).\nAnswer: q**3 + 2*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 80*q**3 - 10158*q**2 - 278*q - 5*q**4 + 10038*q**2 - 42*q + 560.\nAnswer: -5*(q - 14)*(q - 2)**2*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/165178286 and 37\/260?\nAnswer: 1651782860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 (base 2) in base 16?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of 3*c**5\/25 + 3*c**4\/20 - c**3\/5 - 3*c**2\/10 + 6. Suppose l(s) = 0. What is s?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 - h + 7. Let b(d) = 52*d**2 - 2*d - 43. What is -b(f) - 6*z(f)?\nAnswer: -58*f**2 + 8*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*-1 + 2 - -22. Let c(b) = -10*b + 11. Suppose 3*t = -2 - 10. Let w(h) = -2*h + 2. Let s(f) = r*w(f) + t*c(f). Let q(j) = -j. Determine q(s(x)).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v - 3*v - 8*v + (1 - 2 + 3)*(-v + 0*v + 2*v).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 9270 + 2*d + 9264 - 18534. Let u(z) = 0 + 2 - 2 - 47*z. Calculate a(u(j)).\nAnswer: -94*j","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 52*m**2 + 53*m - 28. What is the remainder when l(-18) is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -10, -8, -12, -28, -62, -120, -208, -332?\n\"Answer: -x**3 + 3*x**2 - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 5*s = 108, -2*i + 5*i + 3*s = 81. Suppose 0*z + 16 = 4*z. Suppose -z*d = -69 - i. What is the highest common factor of d and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l*l**(-7))))**(-2\/29) assuming l is positive.\nAnswer: l**(12\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -20929\/8579?\nAnswer: -20929\/8579","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -329940202.5 to the nearest 10000.\nAnswer: -329940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -278, 0 in descending order.\nAnswer: 4, 0, -278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -9.867 (b) -1\/4 (c) -4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + 68. What is the common denominator of 1718\/o - (-9)\/(-81) and ((-318)\/12)\/((-35)\/(-10))?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 4:28 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 907\/24 + -199\/6. What is the common denominator of -63\/2 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 3) to base 4\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -181728*g**2 - 660*g + 363953*g**2 - 181695*g**2 - 600*g**4 + 645*g**3 + 125*g**5 - 360.\nAnswer: 5*(g - 2)**3*(5*g + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - i + 2*b = -9, -5*i = -5*b - 30. Let u(d) = 5 - 2 + 16 + 3*d + 20. Let g be u(-14). Sort -4, i, g.\nAnswer: -4, g, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.071 + -0.245. Let r = w - -0.116. Let a = 0.83 + -0.53. What is the third smallest value in a, 2\/15, r, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 17 + 9 = 4*w, -8 = 3*w + 4*m. Calculate the lowest common multiple of 7 and w.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 9:47 PM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-6)*d**(2\/7))\/(((((d\/((d**(-1)\/d)\/d)*d)\/d*d)\/d*d*d)\/d)\/(d\/(d\/(d*d**(-6))))))**(-2\/111))**16 assuming d is positive.\nAnswer: d**(3520\/777)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3.1 times 3.366\nAnswer: 10.4346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -1029*n - 13582. Calculate u(-13).\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of 189*n**4\/2 + 475*n**2\/2 - 1394*n. What is the derivative of p(v) wrt v?\nAnswer: 2268*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -451*a - 4464. Let l be z(-10). Calculate the highest common factor of 18 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 7*k - 5*k. Suppose k*a - 627 = -5*m, 0*m + 5*m + 4*a = 619. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*x - 22*x - 52*x + 1729 = 0 for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*q + 19 + q - 12*q to the form c + i*q and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 + 1 - 21 + 535*h**2 - 1095*h**2 + 595*h**2.\nAnswer: 35*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-104)\/(-12))\/((-8)\/(-12)) - 3. Let c be (0 + -1)\/(2\/76). Let o = c - -118. Calculate the greatest common divisor of a and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16.65 - 43.\nAnswer: -26.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 99834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2*q + 57 = 29, -2*z - 52 = -2*q. Sort z, -2, 1 in increasing order.\nAnswer: z, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 3*v**5\/5 - 51*v**4\/5 - 27*v**3\/5 + 459*v**2\/5 = 0.\nAnswer: -3, 0, 3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 315 and 41166615?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14)\/21 + (-58)\/3. Let n = -36 + 17. Is n bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k. Let y(g) be the third derivative of 0 + 0*g - 13\/24*g**4 - 5*g**2 + 0*g**3. What is y(v(z))?\nAnswer: 26*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 674*s + 15 = 678*s, 2*c + 35 = 5*s for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21503777, -21503776, -21503775?\nAnswer: -21503774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.074 + -1.574. What is the nearest to -0.03 in -0.6, 0, h, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 7*n**2 - 15*n + 15. Calculate q(7).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*w - 4*n, -2*n - 3*n - 15 = 0. Let s = 1 - w. What is s rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 113020 - 10?\nAnswer: 113010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24616625 and 49233250.\nAnswer: 49233250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(1050) + sqrt(1050) + sqrt(1050) + (2*sqrt(1050) - sqrt(1050)) + sqrt(1050))*-3)\/(sqrt(30)\/(1*sqrt(500) - sqrt(5))).\nAnswer: -2025*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 5*n**2 + 0 - 1 - 2*n - 2. Let t = 19 - -21. What is the remainder when t is divided by k(-2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.54 and -34388.\nAnswer: 121733.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18731 and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 86897438 + -86897422.00000085. Let i = n + -16. What is i rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*2*sqrt(17) - sqrt(17))*4.\nAnswer: 28*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*l**2 - l**2 - 4*l**2 + (1 - 1 + 3*l)*(0*l - l + 3*l) - 1 - 2*l**2 + 1 + l - 3035*l**2 + 30*l + 3028*l**2.\nAnswer: -2*l**2 + 31*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 290109 = 4*b, -124321 = -3*t + 18*b - 14*b. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1192174774 rounded to two decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z**2 + 2 + z**2 - 2*z**4 - 2*z**2 - 3 to the form x*z**4 + g*z**2 + l*z + p + a*z**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 197136987?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 36, 101, 166?\n\"Answer: 65*m - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1275 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*-2)**2 + (sqrt(190)*-2)\/sqrt(10).\nAnswer: -2*sqrt(19) + 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.58 + 3.545. Let h = u - -0.035. Let r be 1*1\/(-4)*2. Which is the biggest value? (a) 2\/15 (b) r (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*x + 53 - 53 as q + i*x and give i.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**2 - i - 2. Let p(w) = 18*w**2 - 24*w + 7. Let s(j) = -10*j**2 + 13*j - 4. Let q(o) = -6*p(o) - 11*s(o). Calculate 3*n(x) + 2*q(x).\nAnswer: -2*x**2 - x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 160 and 7037024.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 1:42 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(13)*-2*-2 + (sqrt(91) - sqrt(91)*2)\/sqrt(7)))**2.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 192 and 40?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16895 - -16896. Let o = 4.92 - -0.08. Sort -0.5, 0.4, k, o.\nAnswer: -0.5, 0.4, k, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 18485?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-9))\/(18\/(-1080))*(-5046)\/841.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.065 from -0.2.\nAnswer: -0.135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -28*n**2*v*z**2 + 140*n**2*z**3 + 2*v*z**3 wrt v.\nAnswer: -28*n**2*z**2 + 2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 451767158 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9020 in 11, 3\/7, -4, 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -m - 115. Suppose 4 - 12 = -d. Calculate the remainder when m is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q - 31*q**2 - 1 - 41*q**2 + q + 13 - 2.\nAnswer: -72*q**2 + q + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13594?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 1145 divide 31753140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**7\/k**(1\/2)*k**9\/k**(-7) assuming k is positive.\nAnswer: k**(45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttttt. What is prob of sequence tt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*n + 2*o - 15, -23 = -5*n - o. Solve 34*d = 32*d + n for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 801*j + 615*j**2 - 801*j + (4 + 2*j**2 - 4)*(4 - 3 - 2) - 3*j**2 + 4*j**2 - 3*j**2 + 3*j + 3*j**2 - 3*j.\nAnswer: 614*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**2. Let k(o) = 158*o**2 - 157918*o. What is k(h(j))?\nAnswer: 632*j**4 - 315836*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 927 - 63. Let p = -191 + n. What are the prime factors of p?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23 and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(5) - sqrt(5))*-1 - ((sqrt(45) + -2)**2 + sqrt(5)).\nAnswer: -45 + 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by -1614965.\nAnswer: -14\/1614965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49189, -49190, -49193, -49198, -49205, -49214?\nAnswer: -49225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 3*r = -7817 + 7820, 5*y + r + 3 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 532759638 to the nearest integer?\nAnswer: 23082","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by 2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2304479 times 4\nAnswer: -9217916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2838, -2839, -2850, -2865, -2878?\n\"Answer: m**3 - 11*m**2 + 25*m - 2853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -479e - 25?\nAnswer: -47c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1829, 7201, 16119, 28583, 44593, 64149, 87251?\nAnswer: 113899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -405 (b) -2 (c) 0 (d) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, 5, 0.196, -4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 553*o - 567*o - 37 = 75 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.9 + 0.1. Let s = z + -4. Which is the nearest to -2\/11? (a) 1 (b) -2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + (60 + -32 - (18 - -11)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15932.983 and -0.1.\nAnswer: -1593.2983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1598006, 3195757, 4793508?\n\"Answer: 1597751*s + 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*a**4 + 2462*a**3 + 12854?\nAnswer: -8*a**3 + 7386*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 669430462 and 1016.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + 30*r + 15. Let b(y) = -6*y - 3. Let o(t) = 15*b(t) + 3*n(t). Let u(x) = 1613*x - 1. Give u(o(d)).\nAnswer: 4839*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4054194 is divided by 1350929?\nAnswer: 1407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s - 6, -4*c - 6*s = 66 - 108 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2087 - 41739\/20. Let i(k) be the first derivative of 0*k**3 + 0*k + m*k**5 - 12 + 0*k**2 + 1\/48*k**6 + 1\/32*k**4. What is g in i(g) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-36)\/30)\/((-2)\/15). Let i = -25 - y. Let b = -20 - i. Calculate the greatest common divisor of 7 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2 - 1344*b - 204984.\nAnswer: -2*(b + 234)*(b + 438)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 722*j + 2128. Determine p(-3).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6543*r**2 - 708 + 1368*r + 756 + 7690*r**2 - 4486*r**2 = 0. Calculate r.\nAnswer: -4\/57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -2*l - 12. Let g be (l\/(-5))\/((-4)\/(-20)). Solve 8*n - 3*n = 2*x - 5, 0 = 3*n - g*x - 1 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 3. Let n = 1.2 - 1.23. Let z = 1.03 + n. Is i at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 864\/243 - 68\/(-153). Let c(z) = -5*z. Let s be c(-2). Solve k*j - 5 = 5*p, 4*p - j + s = j for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - 264*b - 196. List the prime factors of r(-68).\nAnswer: 2, 3, 5, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**5 + q**2. Let v(r) = 2*r**5 + 2*r**4 - r**3 - 3*r**2. Let l(c) = 6*k(c) + 2*v(c). Factor l(p).\nAnswer: -2*p**3*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wzzzzzzzzzzzzwzwzzw. Give prob of picking 2 w.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -30212 (base 4) to base 7\nAnswer: -2231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 51844230 and 28584.\nAnswer: 207376920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 16323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8379?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-492 + 40*v + 492)*(0 + 7 - 2)*(-v + 2*v - 3*v) + (v + 4 - 4 - 2*v - v + 5*v + (1 + 4 - 4)*(0*v - v + 0*v))*(3 + v - 3).\nAnswer: -398*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 65. What are the prime factors of c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/14415388 and 115\/7072?\nAnswer: 115323104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 9*p - 9*p + 14*p. Let d be (70\/(-20) + 1)*6\/(-5). Let t(u) = d*u + 4*u - 6*u + u. Determine t(v(g)).\nAnswer: 28*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*a**4 - 83*a**2 + 7505*a?\nAnswer: -72*a**2 - 166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(3\/11)*i)\/i)**(-27)\/(i**(-1\/11))**(-8) assuming i is positive.\nAnswer: i**(-89\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18779.\nAnswer: 89, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -11*b**2 - 2*b + 2. Let y(z) be the third derivative of 44*z**5\/15 + 11*z**4\/8 - 11*z**3\/2 + 275*z**2. Give 33*u(d) + 2*y(d).\nAnswer: -11*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**2 - 2*t + 6. Let n be i(-3). Let o(f) = 88*f - 151. Let s be o(4). What is the units digit of n\/(-15) + s + -2 + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -1. Let a(q) = -q**2 + 5. Let u be 3 + (13 + -14)\/(2 - 1). Let o be (-12)\/(-90) - u\/(-30)*-62. Calculate o*a(p) - 20*m(p).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 - 35 - (2 + -2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v - 80 = 4*v. What is the lowest common multiple of 3 and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 269, 547, 795, 1007, 1177, 1299?\n\"Answer: -g**3 - 9*g**2 + 312*g - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 276 and 274 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(26)*-2)\/(1*sqrt(32)) + -2 - (sqrt(156) + -3*sqrt(156)*4)\/(sqrt(36)\/(sqrt(12)\/sqrt(4))).\nAnswer: -2 + 23*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - -3)\/3*2. Let x = r - -4. Let h be 0 + x*4\/6. What is the highest common divisor of h and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10122\/(-964))\/((-2)\/48). Solve 0 = 23*i + 19*i - f for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -120*h - 4 - 6 + 121*h. Let v(b) = 8. Let k(x) = 6*u(x) + 7*v(x). Calculate k(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/3 - (-138)\/9. Suppose 3*y + g = -o, -2*y - 4*g + 5 = -3*y. Let p = y - -12. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c6 (base 14) to base 11.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -3*u - 45, 0*a - 5*a - 5*u = -35. List the prime factors of a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence phf when three letters picked without replacement from qpphpppxxf.\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 12:08 AM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (33 - (3 + 19)) - (-5 + -52 - 0)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 5*l**3 - 5*l**2 - 4*l + 5. Let r(x) = -x**3 + x**2 + x. Let o(z) = 4*r(z) + t(z). Let y be o(0). Solve w = y*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/15)\/((-76)\/(-190)*(-80)\/192).\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10.042 + -0.042. What is the smallest value in 0.2, t, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 342 is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 41*f - 88*f + 10 + 46*f - 8. Let g be 2\/(-5) + 42\/5. Calculate k(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 6\/7, 0, 2\/7, -5, -2, -2618, -2\/17?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of 0*z - 7\/4*z**4 + 0 + 1\/20*z**5 + 49\/2*z**3 - 39*z**2. Solve f(k) = 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*s + 10, 171 = -n + 4*s + 148 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 296 = -1712. List the prime factors of h.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1159917799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 146566 - -878?\nAnswer: 147555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1338665 or 10709331\/8?\nAnswer: 1338665","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 831163633 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 8*f**2 + f - 5. Let t be c(8). Let h = t + -2. Let b be (0 - h) + (-10)\/(-16). Is b at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -7*n**2 - 5. Let f(k) = -6*k**2 - 4. Suppose 0 = -0*b + 6*b - 390. Let u = b + -69. Determine u*m(x) + 5*f(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -148, 73, 16?\nAnswer: -148","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 121, 895, 2275, 4315, 7069?\n\"Answer: 9*v**3 + 249*v**2 - 36*v - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 18 + -2 - ((12 - 49) + 45)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 2*z + 1. Let g be 2\/7 + (-20)\/(-28). Determine q(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 664 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/2267 + -1733\/605289. Suppose 6*y + 4 + 2 = 0. Is c <= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17702.218 rounded to the nearest 1000?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17323 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = r, 0*x + 45 = 5*x - 4*r. Let u(m) = 13*m + 6. Let b(s) = -8*s - 4. Let k(i) = 8*b(i) + 5*u(i). Let q be k(x). Solve 6*t + 9 = q*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffb when three letters picked without replacement from {f: 5, r: 4, b: 5}.\nAnswer: 25\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3.31 (b) -5\/3 (c) -0.3 (d) 1 (e) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 17*q**3\/5 - 32*q**2\/5 - 4*q\/5.\nAnswer: q*(q - 2)*(17*q + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 4*g**2 + 2*g. Let k(j) be the first derivative of -15 + 0*j**2 + 0*j + 2\/3*j**3. Give k(z(m)).\nAnswer: 32*m**4 + 32*m**3 + 8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d - 5*d + 3*d)*(0 + 3 - 4)*(2*d - 2*d + d)*(-d - d + 0*d).\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -7. Let h be 1 - f - (1 + -1). Solve h = 2*u + u - 9 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*x**2 - 11*x**2 - 23*x**2 + 4*x**3.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (30\/20)\/((-6)\/(-20)). Let h = -14 - -17. Suppose -h*o - 4*k = -24, 0 = -2*o - k + 11. Sort j, 3, o in ascending order.\nAnswer: 3, o, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**3 + 2*h**2 + 4*h - 7. Let x(r) = -4*r**3 - 4*r**2 - 7*r + 13. Let l(n) = 11*k(n) + 6*x(n). Calculate the remainder when l(-2) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 3*n = 2 + 2, -2*f - 4*n = 8. Let v(c) = -c**3 + 6*c**2 - 3. Let b be v(6). Let k = b - -23. Solve -j + 16 = f*j + 4*r, 3*j - 5*r = -k for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -246 - -420. Let q(w) = -2*w**3 + 10*w**2 - 13*w + 69. Let r be q(5). Suppose r*l = -2*l + n. What is the highest common factor of l and 145?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.4 (b) -2\/5 (c) -2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*j + 101871 - 50848 - 51023 + 82*j.\nAnswer: 61*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.96 - 3. Let t = 1 - 6. What is the smallest value in 4\/3, t, a?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 1:30 PM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 140186, 0, 47, 9, -1 in increasing order.\nAnswer: -1, 0, 9, 47, 140186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 r when three letters picked without replacement from axoyryomooyoo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**3 + 0*f + 0*f)*(4 - 2 - 3)*(2 - 4 - 5) + (-f**2 + 2*f**2 + 0*f**2)*(2 - 2 - 2*f) - f**3 + f**3 - 3*f**3.\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*u*z**3 + 1174460*u*z + 8*z**3 + 4*z**2 + 204*z - 172 wrt u?\nAnswer: 2*z**3 + 1174460*z","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {m: 2, u: 10, x: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -2\/11, -0.4, 7, -0.03?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 896 and 31584?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 3*g - 3, -7 = -q - 5*g + 22. Solve 0 = -5*m - b - 18, 3*m = b - q*b - 18 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**31*p)\/p)**(1\/22)\/((p*p**(3\/4))\/((p*p**(-3\/11)*p)\/p)) assuming p is positive.\nAnswer: p**(17\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(972) + (sqrt(972)*-1 - sqrt(972)))*-3 - sqrt(972))\/(sqrt(63)\/(sqrt(35)\/(1*sqrt(5)))).\nAnswer: 2 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/59))**11 assuming h is positive.\nAnswer: h**(-22\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*u + 4021 + 143 = -246 for u.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -764795 not equal to -764720?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/sqrt(10)*-6 + (-2 + (sqrt(11) + 0 - sqrt(11)))**2 - (sqrt(396) + 2*sqrt(396) + sqrt(11) + 3*(sqrt(55)\/sqrt(5))**2).\nAnswer: -25*sqrt(11) - 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 888*f - 4 + 848*f + 2 - 1.\nAnswer: -40*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n + 16*n - 3338 + 26*n.\nAnswer: 39*n - 3338","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of -l**4\/18 - 98*l**3\/9 + 2719*l. Let i(x) = 0. What is x?\nAnswer: -98, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6279494 to the power of 1\/2, to the nearest integer?\nAnswer: 2506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -7*a + 7*a**2 + 2 + 3*a - 2*a**2. Let i be g(2). Suppose -4*t - 3*w = -0*w + 5, 2*t - i = 4*w. Calculate the remainder when t is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155332805*x**3 - 15171230*x**2 - 371260*x - 40 = 0.\nAnswer: -2\/41, -2\/18481","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, -2\/9, 5 in descending order.\nAnswer: 5, 4, -2\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*p**2 - 130514*p + 130514*p + 6*p**2.\nAnswer: 105*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*t - 19*t = 1407. Let s = -141 + -18. Let m = -96 - s. Calculate the greatest common divisor of t and m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-16))\/(-12 + (-285)\/(-19)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/222 and -41\/148.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.385 less than -7175515?\nAnswer: -7175514.615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 24 = -7*l, 3*l = 2*m + 5*m + 6*l - 30 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**2 + 12*t - 183. Let h be (6 + -2)*17\/((-34)\/(-12)). What is the tens digit of q(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*((-1)\/(-4))\/(413\/6). Let r = 29353\/4130 + j. What is the common denominator of r and 89\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r - 14. Let f be n(-12). Which is the third biggest value? (a) -1\/3 (b) f (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 42 + 60 = -3*s, 2*a - 68 = 4*s. Suppose -3*p + a = 28. Solve 0 = 4*b + 7*x - p*x + 14, -5*b - 11 = 3*x for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4 + -2)*63\/2.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32224948 = 32224948?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -z**2\/3 - 28616714*z - 614187240118347 = 0.\nAnswer: -42925071","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 2, -1\/2, 0.07, 135?\nAnswer: 135","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 440 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 6*u - 3 + 1)*(-6*u**2 + 404*u - 207*u - 202*u) as f + i*u**2 + c*u**3 + p*u and give i.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -7*z**2 + z - 1. Let j(n) = -n + 1. Let s(i) = a(i) + j(i). Suppose -p - 4 = -33. Let k(q) = p*q**2 + 28*q**2 - 58*q**2. Calculate k(s(b)).\nAnswer: -49*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 18600530541 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1337556?\nAnswer: 2, 3, 11, 10133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - 2)*(-40*x - 2 + 24*x + 44*x + x**2) to w + v*x**2 + f*x and give f.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2605 + -1777. Let v = -825 + l. Which is the second biggest value? (a) -0.2 (b) 1 (c) 0 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -2*h**4\/3 - 4402*h**3 - 7251178*h**2 + 152763710*h\/3 - 87384200 = 0.\nAnswer: -3305, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*w**2\/5 - 6078*w - 30384\/5.\nAnswer: -6*(w + 1)*(w + 5064)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.03 + -6. Let p = i - 2.03. Let o = 14381.9 + -14385.9. Which is the closest to -2? (a) p (b) o (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, 4\/7, -80, 4\/5, -1 in decreasing order.\nAnswer: 4\/5, 4\/7, -3\/7, -1, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1329219?\nAnswer: 3, 113, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(5 + 309\/(-63)). Let p(l) = -5*l + 42. Let r be p(t). Suppose -2*a + 211 = -r. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3757 + -3760. Let i be (-3)\/3 + (-470)\/(-558). Let h = -2\/31 + i. What is the third biggest value in 0.1, z, h?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8212 = 4*g - 788. Let f be (1 - (1 + -1))*g. Let j(k) = f*k - 2250*k + 19*k**3. What is j(-1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-136)\/(-7))\/((234\/21)\/(-39))\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 15*p - 3. Let i = 31 - 63\/2. Which is the nearest to p? (a) i (b) -0.4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.4655 rounded to one dp?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*t + p + 3*p, 2*t + 13 = -5*p. Calculate the remainder when 93 is divided by ((-14)\/2 + 39)\/t.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1)*(-487*n + n**3 - 210 + 487*n + 3*n**2).\nAnswer: n**3 + 3*n**2 - 210","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6*(21 + -4)*1. Let p be s\/17*1\/2*1. Solve l + 4*y = p*y - 1, -4*y = 3*l + 1 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + y**2 - y - 1. Let k(r) = 8*r**3 - 2*r**2 + 8*r + 6. Let s(c) = 6*h(c) + k(c). Factor s(m).\nAnswer: 2*m*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 4*j - 179, 6*a - 5*a = 2*j - 91. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 42*n - 22*n = -9*n. Let h(b) be the first derivative of 22 - 1\/3*b**3 + n*b**2 + 0*b. Factor h(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 318 + -313. Suppose 618 + 437 = v*g. Is 210 not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (0 - (4 + -9)) - 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 84, 146, 208, 270, 332?\nAnswer: 394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, 4, 3, -0.2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 12) to base 11.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 811134229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -205427974.37 + -13.347.\nAnswer: -205427987.717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4*q + 12 = -0*c, c + 1 = q. Suppose c*j = -5*t + 81, 0*t + 29 = j + 3*t. What is the remainder when 39 is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 123.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -959.7 + 959.9. Let s be 1 - ((-27)\/(-11))\/3. Which is the third smallest value? (a) -0.2 (b) t (c) s (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2633.4 - -2633. Which is the nearest to 1? (a) g (b) -5 (c) 1 (d) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137 is divided by 7 - (-19 - 3) - (1 - -4).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 9 - h**3 + 2*h**4 + 4 - 3*h**2 as k*h**2 + d*h**3 + q*h + u + o*h**4 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q**2 - 2*q - 2. Let m be y(-1). Let w be (1*(96 + 11))\/((-1)\/m). Is w at most 215?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 127*t**2 + 185*t - 65. Is c(18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144480198 to the power of 1\/2, to the nearest integer?\nAnswer: 12020","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 547489 is divided by 9776?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3473054805.97 and 6.7.\nAnswer: -3473054799.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -168*j - 17. Let l be n(-2). What is the highest common factor of 29 and l?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 55 or 4522\/83?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (322 + -332)\/((-4)\/(-38))\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + (24 + -1 - 50).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -49 + 144. Suppose -1 = x + t - 34, 3*x = t + w. Suppose 3*h = 2*p - x, 0*p = 5*p - 2*h - 58. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/(-4) + 1\/(-4). Let q be -4 + (-4)\/(-2) + 10. Solve 0 = l - 5*j + q + 21, 0 = -3*l - 2*j - w for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 76497.\nAnswer: -2\/76497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 152671\/969 - 1418\/9. Let n = u - -90143\/75582. Calculate the common denominator of -103\/6 and n.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 16) + (18 - 8 - -8) + -26 + -3?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of -43*x**3\/6 - 425*x. Let r(a) = 22*a. What is 6*c(f) + 11*r(f)?\nAnswer: -16*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 62.51732 to one dp.\nAnswer: 62.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*s - 2*s + s)*(2*s + s**2 - 2*s) + 2 - 2*s**3 - 2 + (2*s**2 - s + s)*(3*s + 2*s + 0*s) in the form u + t*s**3 + b*s**2 + g*s and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*v + 9*v + 17*v - 41*v + 13*v.\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1412 and 4.\nAnswer: 1412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.27 from -302195.\nAnswer: -302195.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-204710)\/(-38) + 8\/(-76)*1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(1\/7))\/n)\/n*n**1*(n*n**(-17)*n)\/((n*n*n\/n**20*n*n)\/n) assuming n is positive.\nAnswer: n**(8\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 120021 (base 3) to base 6\nAnswer: 1524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 488 - 484. Let q be (-12)\/s - (-22 + -13). Solve -q*h + 29*h - 12 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of 2*i**5\/5 - 3*i**4 - 16*i**3\/3 + 6*i**2 + 14*i - 290. Factor y(f).\nAnswer: 2*(f - 7)*(f - 1)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10276, -10272, -10268?\nAnswer: -10264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-0.12564\nAnswer: -0.06282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {r: 3, b: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p + 0*p + 4*p)*(-27*p**2 - 24*p**2 + 14*p**2) + (-3*p + 0*p - 5*p)*(3 - 3*p + 3*p - p**2).\nAnswer: 45*p**3 - 24*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6335 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 0 = -10. Let u(k) = -5*k - 6. Let b be u(q). What is the first derivative of 2 - 2*j**4 - 1 + 3*j**b + 3*j**4 wrt j?\nAnswer: 16*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**3*(n**(-1\/10)*n)\/n)\/(n*n**2)**(4\/5))\/(n\/(n\/(n*n**8*n))*n*n**7\/n*n\/n**(1\/15)*(n**(6\/5)*n)\/n) assuming n is positive.\nAnswer: n**(-709\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 454657?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 10*w - 114 + 70, -4*n + w = 10. Let l = -0.2 - 0.8. What is the second biggest value in 3\/7, 4, l, n?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**2 - 6*l**2 + 3*l**2 + (-2*l - 14*l - 19*l)*(260 - 31*l - 260) - l + 2*l**2 + l + 2*l**2 - 1 + 1.\nAnswer: 1085*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1937 = 359*v - 210*v - 8344 for v.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7244 or 92.36?\nAnswer: 92.36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of d**5\/20 + d**4\/4 + d**3\/6 - d**2\/2 - 254*d + 2. Suppose 5*m - 3*m - 5*c + 24 = 0, 4*c = 3*m + 22. Give z(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzrr when four letters picked without replacement from {r: 2, f: 1, z: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12252.\nAnswer: 2, 3, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1481782, -1481784, -1481786, -1481788?\nAnswer: -1481790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 395 - 1025 = -35*j. Suppose -5*l = 0, -5*h + 17 = 3*l - j. What is the nearest to h in 0.1, -0.1, -1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-1\/2))\/u**(2\/21)*(((u\/u**7)\/u)\/u)**32 assuming u is positive.\nAnswer: u**(-10735\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1403041*c*n + 2706814*n wrt c.\nAnswer: 1403041*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001001100000 (base 2) in base 14?\nAnswer: -1a00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 10*c**2 - 12*c - 61. Calculate the remainder when 443 is divided by j(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 3279096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**4 - 38436*q**2 + 19232*q**2 + 19203*q**2 + q**3 - 68*q in the form p*q + u*q**2 + w*q**3 + j + s*q**4 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbww. Give prob of picking 2 w.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-45)*-1)\/((-2)\/(-4))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.9 + 0.82. Let t = -5.08 - x. Is t at most -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 1 - (2 + -2 + -4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -3*x**3 + 1. Determine p(-2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 109, 359, 773, 1351, 2093, 2999?\nAnswer: 4069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6 and -0.0264258927?\nAnswer: 6.0264258927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 15, 28, 39, 48, 55, 60?\n\"Answer: -p**2 + 16*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -572*j - 833*j**2 + 572*j - 2.\nAnswer: -833*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1403*h = -1387*h. Let j(f) = f**3 + 5*f**2 - 4*f + 4. Let z be j(-6). Suppose 0 = 4*y + 2*k + k + 8, 3*k - 12 = 0. Put h, z, y in increasing order.\nAnswer: z, y, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -4*g**3 + 40700*g**2 - 81388*g + 40692 = 0.\nAnswer: 1, 10173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9727 - -15339. Is i a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from fffhfhfffffffhhhhfh?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -132, -148, -170, -204, -256, -332, -438?\nAnswer: -580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -4*l + 136, 2*d = 10*l - 9*l - 124. Sort d, -4, 4, 0.4 in descending order.\nAnswer: 4, 0.4, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3791*i**3 - 18*i**2 - 8*i + 0 - 3793*i**3 - 14 - 7. What is x(-9)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b351 (base 15) in base 12?\nAnswer: -19b04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 22 = 142. Let p = 173\/10 + -989\/30. Find the common denominator of p and -1 - 2*218\/k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-22)\/(-1))\/(1 - 2). Let f = m + 33. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/10*((-7800)\/16)\/15.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {r: 7, k: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 15 = g. Let f = g + 25. Let y be (-82)\/(-8) - 1\/4. What is the highest common divisor of f and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.28 + -0.28. What is the third smallest value in 1\/16, -2\/9, i, -1?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114*w + 113*w + s = -14, 5*s - 58 = -3*w. Solve 0 = d + 2, w*c + 16 = 11*c + 2*d for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1433 times 1716?\nAnswer: -1961.9028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of q**5\/5 + 129*q**2. Let i(u) = -8*u + 6. Let t(y) = -15*y + 11. Let s(a) = -11*i(a) + 6*t(a). Calculate j(s(k)).\nAnswer: 48*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine halves of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 40222\/65 - (-1)\/5. Let f = w - 4967\/8. Calculate the common denominator of 19\/8 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + 2 + 1 + -10. Let h(a) be the first derivative of -a**2\/2 - a + 1. Let v be h(j). Solve p + p = v for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5384403?\nAnswer: 3, 79, 7573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + o + 1)*(-123740 - 1244*o + 123740 - 3425*o).\nAnswer: -4669*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -96, -1095, -1, 4, -2.\nAnswer: -1095, -96, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13.6 + 13.69. Which is the closest to 0? (a) -1 (b) -4\/5 (c) s (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2150605 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 42 = -36. Let k be 3\/42*v*-1. Let j = -3 - -3. Which is the closest to -0.3? (a) k (b) -0.4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 7*f**2 + 5*f - 2. Let a(d) = 6*d**2 + 4*d - 1. Calculate -4*a(k) + 3*j(k).\nAnswer: -3*k**2 - k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2305.496 millennia in decades?\nAnswer: 230549.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 115122021 (base 6) to base 3\nAnswer: 11010221211111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -398*o + 9 = -399*o for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of 0*g**3 + 0*g - 1\/24*g**4 + 2*g**2 + 0. Let w(r) = 8*r**2 + 1466*r - 1466*r. Determine k(w(u)).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.14 + 104.14. Let x = v + -100.74. What is x rounded to one dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 25*i**2 + 222*i - 18. Give u(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-32)\/(-14) + 28\/(-98). Suppose o*i + 520 = 7*i. What are the prime factors of i?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59919025 is divided by 263?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 4:33 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a milligram in nanograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1592, 3181, 4770, 6359, 7948?\n\"Answer: 1589*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0607? (a) 41\/8 (b) -2.7 (c) 0 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.081 less than -12712522?\nAnswer: -12712521.919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40764 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 1)*(6*j + 2*j - 2*j).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 z when three letters picked without replacement from riurrmimwiz?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21.72 + -17.2. Let r = z - 4. Round r to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 f, and 1 t when three letters picked without replacement from {x: 1, f: 2, t: 4}.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 5*u - 901, 2*q + 2*u = -0*q - 464. Let s = 231 + q. What is the least common multiple of s and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b6bb9 (base 12) to base 6.\nAnswer: 23451553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -99*z**2 - 6*z. Let f(b) be the first derivative of 20*b**3\/3 + b**2\/2 - 4. Let n(i) = 24*f(i) + 5*w(i). Factor n(m).\nAnswer: -3*m*(5*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21740568 to the power of 1\/3, to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -19666863904 take away 1?\nAnswer: -19666863905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -24 + (58 - 38) + -14 + 2\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of 13*p**5\/20 - 2*p**3\/3 - 2*p**2 + 2*p - 349. Give b(-2).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(128)*-2 - (sqrt(2) + (sqrt(128) - sqrt(32))**2 - sqrt(2)).\nAnswer: -32 - 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17 + 22 - 12)*(0 + 6 - 4)*(-t - 5*t + 5*t)*(-3*t**2 + 2*t**2 + 3*t**2) as a*t**2 + u + f*t + m*t**3 and give m.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n + 0*n - n + (0*n + 154*n - 15*n)*(-4 - 4 + 7) in the form c*n + l and give c.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 9 + -2 + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 + 1 + 3 - 3*l**3 + (0*l**2 + l**2 + 0*l**2)*(l + 0*l - 2*l).\nAnswer: -4*l**3 + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 6:03 PM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 213 and 49203?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 72739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, -34, -5 in descending order.\nAnswer: 41, -5, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 21020121203 (base 4) in base 13?\nAnswer: 65a6b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 708371683 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 11 = 3*l, -5*q + 6*l + 13 = 10*l for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -i**5 + 7*i**4 - 2*i**3 - 28*i**2 + 24*i = 0.\nAnswer: -2, 0, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.1, 198, -57 in decreasing order.\nAnswer: 198, 0.1, 0, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -4*h - 191. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = b - 1. Suppose 0*p = 3*p + 3*j - 246, j = -3*p + 244. What is the greatest common divisor of p and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**3 - 7*p**3 + 2*p**3 + 0*p**3 - p**3.\nAnswer: -5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (2*9\/12)\/3*-1\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 464426.2 micrometers in kilometers?\nAnswer: 0.0004644262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -70.173 + 20.173. Put 0.23, 2, u, 1, 2\/3 in increasing order.\nAnswer: u, 0.23, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -341665*l**3*o**3 - 2*l**3 + 2*l**2 + 85*l*o**3 + 984*l + o**3 - 12143*o**2 wrt o?\nAnswer: -2049990*l**3 + 510*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1, 17, 61, 137, 251, 409?\n\"Answer: w**3 + 7*w**2 - 10*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.88 and 1?\nAnswer: -0.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2512.4454 + -2513. Let u = x + 0.56. What is u rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 66, -1, -5.3, -0.4, -2\/11?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38704 is divided by 1284?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y\/((y**(3\/13)*y)\/y))\/y)\/y)\/(y\/(y\/y**(2\/5)*y))*(y\/((y*y**8)\/y))\/(y*y**(-2\/5)) assuming y is positive.\nAnswer: y**(-94\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/3*t**4 - 4 - 17\/3*t**2 - 26\/3*t - 1\/2*t**3 + 1\/6*t**5 = 0. Calculate t.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -17 (b) 0 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17296710 is divided by 519?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 7 = 2*d. Suppose 4*v + 16 = d*v. Solve -3*p = -4*p - v for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - 10*u - 40. Suppose 7*s + 3 = 150. Is k(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 8 + 8 = 0. Suppose 0 = 5*z - 2*x - 30, 27 = 3*z - 81*x + 78*x. Let n = z + h. Solve n = -4*l - 0*l - 16 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*r - 45*r + 12*r.\nAnswer: -91*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 344707 to the power of 1\/2, to the nearest integer?\nAnswer: 587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3. Let m(l) = -3*l - 121. Let z be m(-40). Let u(d) = 2*d**3 + 7*d**2 + 7*d - 6. Let r(c) = z*u(c) - 3*b(c). Calculate r(8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yaaaaaeaexxaa. Give prob of sequence exax.\nAnswer: 4\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6 + ((-865)\/(-20))\/(-1). Let c = m - -1381\/36. What is the common denominator of ((-26)\/2)\/(1\/(-2)) and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7753203 micrograms to nanograms.\nAnswer: 775.3203","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 52 + f**3 - 3)*((2 + 2 - 2)*(-1 - 2 + 2) - 3 - 27 + 0).\nAnswer: -32*f**3 + 1952","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5533 is divided by 135?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -82 + 81.8. Let m = -0.84 - -0.14. Which is the smallest value? (a) p (b) m (c) -1\/2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-15) + 69\/15. Suppose v - 17 = -4*x, 7 + 10 = u*x - 3*v. Suppose 0 = -5*s + 3*w + 16, -41 = -x*s - 2*w - 15. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*k**2 - 14*k**2 + 8*k**2 - k**2.\nAnswer: -15*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -11\/254 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -664535.74 to the nearest ten thousand.\nAnswer: -660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 7. Let q(x) = -6*x**3 + 1 + 3*x**2 - 2*x - 2*x**h + 4*x. Is q(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -368*r**2 + 10858*r + 5465. Give f(30).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuoououppop. Give prob of sequence pouu.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2200709051 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 5305671?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 335941 divided by -1.\nAnswer: -335941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-9)*36\/(-12)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-4)*d)\/d**0*d\/d**5*d**(-2) assuming d is positive.\nAnswer: d**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2896, -2898, -2900, -2902?\n\"Answer: -2*j - 2894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 81609 divided by 81609?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a + 5 = -g + 5*a, 0 = 2*g - 4*a - 18. Suppose -g*b + 9115 = -7595. Round b to the nearest 100.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10080744.\nAnswer: 2, 3, 149, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 2*i - 11 + 9*i**2 - i - 4*i + 2*i. Suppose -36 = 3*t + t. Is x(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -112, -92, -44, 32, 136?\nAnswer: 268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, c: 1, y: 3, u: 1, k: 2}. What is prob of sequence cm?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 12, r: 6}. What is prob of picking 2 t?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2881 - -2929. Calculate the greatest common factor of 1264 and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of w**6\/15 + 2*w**5\/25 - w**4\/5 - 4*w**3\/15 + w**2\/5 + 2*w\/5 + 10. Solve i(g) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 372 times 26024\nAnswer: 9680928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-2)\/10) + 0\/(-1).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.6 in 414\/5, -1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -25951000 rounded to the nearest one million?\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -150\/764171?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 - 5*c - 1. Suppose -4*b + 8 = -4*r - 8, -4*b + 22 = -r. Let n(s) = -s**2 + s. Let p be n(b). Let h = p - -26. Determine z(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 664*q**2. Let d(u) = 4*u. Calculate z(d(m)).\nAnswer: 10624*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -67c5a + -2?\nAnswer: -67c5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(880)\/sqrt(5) + (1 + sqrt(1100))*-5.\nAnswer: -46*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nwvznqg. What is prob of sequence zn?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*y - 160*y = 88 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*y**2\/2 + 135449*y\/2 + 645 = 0. Calculate y.\nAnswer: -1\/105, 1290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/2 and -34\/129.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, u: 3, y: 7}. Give prob of sequence uu.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3357.23 centuries to years.\nAnswer: 335723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-348216)\/165 - 2\/(-5). Suppose -3*n - 156 = 3*n. What is the tens digit of 10\/(-65) - (0 - x\/n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 37*h**3 + 5*h**2. Let n be 15*(57\/15)\/19. Let r(v) = 18*v**3 + 3*v**2. Give n*a(q) - 5*r(q).\nAnswer: 21*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n + 9. Let q be y(7). Suppose 5*m = -q*i + 206, -5*m + 48 + 166 = -2*i. What is the remainder when m is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19445294 and 1?\nAnswer: 19445294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 - -3)\/(-1 - 6\/(-4)). Which is smaller: -7 or o?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 654 + -245. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28726 is divided by 228?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0561 to 3 decimal places.\nAnswer: 0.056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -837*x + 833*x - 32, -4*x - 17 = -z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from {u: 3, n: 13}?\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p. Let n(t) = -190*t + 160. Let v be ((-7)\/((-28)\/(-324)) - -1)\/(-1). Let u(a) = -7*a + 6. Let w(m) = v*u(m) - 3*n(m). Give f(w(d)).\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11528.6 rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -6 + 20*s + s**2 - 16*s - s**3 + 2. Let t(i) = 2*i**3 - i**2 - 7*i + 7. Calculate -7*l(h) - 4*t(h).\nAnswer: -h**3 - 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u - 8*u - 8*u.\nAnswer: -17*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.037 (b) 0.5 (c) 47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 54\/175 at least -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 28241029 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -53*g**4*n**3 + 5497*g**4 - 19*g**2*n**2 - 1070*g**2 - 2*g*n**3 + 3*g*n**2 wrt g?\nAnswer: -1272*g*n**3 + 131928*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 975 = -5*r, 0 = -9*r + 6*r + d - 585. Let b = -164 - r. Solve b - 11 = -5*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22116945 and 140073985.\nAnswer: 420221955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 3) + 25 + -18 + -56.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddddddddd. What is prob of sequence ddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*j - 3657 + 741 = 27*j for j.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -4 (b) -2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + -168 + 4 + -1. Let x = r + 309. Does 55 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*c**2 + 7*c**2 + 9*c**2 + 25*c**2 + 26*c**2 as u + k*c**2 + t*c and give k.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(6\/11))**(-19)\/(x**(-45)*x*x**(2\/143)))**49 assuming x is positive.\nAnswer: x**(235592\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -519*k + 1078. Is z(-22) a multiple of 284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1042 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 0*r = -2*r - 14, 4*h - r = 9. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 128 - 125. Suppose t + 3*a + a = 259, -q*t + 3*a = -852. What are the prime factors of t?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -284*c + 171*c - 118*c - 13*c - 41*c.\nAnswer: -285*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 6*i**3 - 20*i**2 - 49*i + 136. Determine x(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in five sixths of a week?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-15)*(-1)\/(-3)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10325 (base 6) to base 12.\nAnswer: -9a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31834294, -31834316, -31834354, -31834408, -31834478, -31834564, -31834666?\nAnswer: -31834784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 27, -2 in increasing order.\nAnswer: -20, -2, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3*l**2 - 17. Let d(o) = 7*o + 3*o - 8*o + 0*o. Calculate d(q(a)).\nAnswer: -6*a**2 - 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/(-14)*2\/(-4). Let p = 154 - 92. Let q = p + -59. What is the third smallest value in q, w, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 691 is divided by 290?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12742 - 12700. Let r(z) = 9*z. Let m be r(7). Calculate the highest common divisor of m and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-228 - 118 - 134)*(-2*k + 0*k + k)*(k - 3*k + k).\nAnswer: -480*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.269224598 to one dp.\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -13*h**2 + 191*h + 16. Let b be g(14). What is the nearest to 1 in b, 30, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -31?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = 16*r - 21*r. Suppose r*n = 21*n. Factor 0*p**4 - 4\/7*p**3 + n*p**2 + 2\/7*p**5 + 2\/7*p + 0.\nAnswer: 2*p*(p - 1)**2*(p + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7042008083565 and -0.4?\nAnswer: 7042008083564.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dq when two letters picked without replacement from {z: 1, q: 5, d: 5}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/6)\/(138\/(-552)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -4. Let c = 1 + x. Let r = -15\/2 - -8. Is c not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -4, 0 = -5*z - 5*v - 0 + 20. Let q(a) = a**2 + 3. Let c(o) = 2*o**2 + 7. Let d(w) = z*c(w) - 7*q(w). Let i(b) = 2*b. What is d(i(m))?\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q + 7. Let t be i(0). Let b(h) = -10*h**2 - 3*h - 35. Let a(g) = -3*g**2 - g - 12. Let x(m) = t*a(m) - 2*b(m). Calculate x(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -3*j + 2. Let w(l) = l**2 + 6*l + 2. Let k be w(-6). Let x be 5\/((-1)\/(k + -1)). What is the remainder when d(x) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -y - 3, 4*y = 3*v - 15 + 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-2)*-78*(-4986)\/(-2216)*2\/9?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1955, 4, -3\/304?\nAnswer: -3\/304","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-16)\/12)\/((-1)\/12). Suppose 4*v = -0*v + p. Suppose 0 = 4*s + 5*y + 7, 3*s - 4*s - v*y - 10 = 0. Solve 0 = l + 5*q - q - 18, -s*q + 4 = 3*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 353 divide 14505123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -99 - -93 - (-25 + (-4 - -11))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 PM and 8:00 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f = 47 - 31 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - 5*w**2 + 5*w + 1. Suppose 0 = -3*x - 1 + 10. Suppose 2*t - 5 = x. Suppose t*c = -c + 20. What is k(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -118*t + 10873. Let z be n(90). Calculate the greatest common factor of z and 3933.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.7256656 to one dp.\nAnswer: 3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -4*n**2 + 2*n + 8. Determine l(5).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 AM and 12:37 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 130\/42 - 10\/105. Solve -7 = w*t + 2 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-322))\/(74*665\/68894)?\nAnswer: 1\/115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14713*u**2 + 225*u - 81517445 wrt u.\nAnswer: -29426*u + 225","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*s**5 - 2*s**4 + 20*s**2 wrt s?\nAnswer: -360*s**2 - 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - -13. Suppose 0 = -4*p + 4*v + 84, 81 = 2*p - 822*v + 817*v. Calculate the lowest common multiple of p and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -4*m**4 + 900*m**3 + 2736*m**2 + 16*m - 3648 = 0.\nAnswer: -2, 1, 228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 8 - ((4 - 6) + 0) - -29?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 21 = 3*t, 4*t + 1 = 5*h + 32. Suppose t*f = -f - 35. Which is bigger: -6 or f?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -54*h + 1111. What is the remainder when 2726 is divided by l(20)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 3*v**2 - 8*v + 32. Let k be c(4). Let t(x) = 15*x**2 + 3*x + 3. Let d(r) = 76*r**2 + 16*r + 16. Determine k*t(y) + 3*d(y).\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirty-two fifths of a tonne?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + r - 1. Let q be l(0). Let w be 3 + q*(0 + 4). List the prime factors of w - ((-14)\/(-4))\/((-10)\/140).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1231224 to the nearest integer?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 10:50 PM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -560072, -1120141, -1680210, -2240279, -2800348?\nAnswer: -3360417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 o when two letters picked without replacement from vimobovoombmiollov?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.5*6678.\nAnswer: -50085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 460, 1796, 4020, 7138, 11156, 16080, 21916?\nAnswer: 28670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/853447 and -65\/2926104.\nAnswer: 20482728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 308 and 104324?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -13*v - 77. Give w(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*q = 4*q - 965667 + 131043. Is q a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(26) + (sqrt(936)*4 + sqrt(936) - sqrt(26)) + sqrt(26))*-4)\/(3*sqrt(162)*-2 + sqrt(162) + sqrt(162)*-1*2).\nAnswer: -124*sqrt(13)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -154?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -5*a + 423, 2*o - 6*o = -5*a + 419. Round a to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 0*y**2 + 2*y + 0 + y**2 - 1 - 3*y. Let u be (6\/(-2) - -1)\/1. List the prime factors of l(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - (-2 + 2 + -2). Suppose 2*z = -l*z + 30. What is the remainder when (-2)\/(-8) - 43\/(-4) is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30303, -30284, -30245, -30180, -30083, -29948, -29769?\nAnswer: -29540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g**3 - 28*g**2 + 2148*g + 113210 wrt g.\nAnswer: 3*g**2 - 56*g + 2148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/((sqrt(66)*-2 + sqrt(66))\/sqrt(11)) + 6*(sqrt(11) + 0) + -5 + 0 + 0 + sqrt(1584) + (sqrt(1584) - 2*sqrt(1584)) + 2)**2.\nAnswer: -30*sqrt(11) + 284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5*-4*-2*sqrt(405) - (-4*(0 + sqrt(80))*-2)**2).\nAnswer: -30720 - 2160*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -3\/2, -1\/11, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 5236 = 4*n, 4*n + 79*o = 78*o + 5221. What is the smallest common multiple of n and 326?\nAnswer: 1304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4182 - -4180. Which is the closest to -1? (a) p (b) 5 (c) 3 (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**2 - 2916249 + d**3 - 2111664 + 1127913 - d. Let s(k) = -k + 10. Let w be s(10). Let b be u(w). What is b rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -430130 plus 4?\nAnswer: -430126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 1 - (-52)\/(-7722)*66\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/360 and 107\/240.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 342678 divided by -6\nAnswer: -57113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.379648 and -2.48?\nAnswer: -0.94152704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 15) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -9*o - 3. Let z(q) = 5*q + 2. Suppose 4*s + 9 = h - 0, 0 = h - 2*s - 7. Suppose -y + 5*f + 0 = 12, 0 = y + 5*f - 18. Calculate h*z(v) + y*x(v).\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/6613272 and 113\/216.\nAnswer: 6613272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = w, -37 = -5*c + 2*w + w. Let y be (-3)\/(-4) - 3\/(-12). Is (6 - c)*(y - -156) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101010011111010 (base 2) to base 15\nAnswer: -66a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 6.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b**2 + 190. What is the hundreds digit of t(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*q - 134*q - 44 = -2*r, q + 0*r - 6*r + 34 + 32 = 7*q for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 4*v**2 + 3*v + 2. Let l be m(-5). Suppose l - 16 = -2*n. Let b(c) = -2*c**2 - 14*c + 0*c**n + 14*c. Let j(u) = 4*u. Calculate j(b(h)).\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 + 42.5.\nAnswer: 42.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a + 2*a - 6 + 3*a + 3*a. Let u(d) = -d + 1. Give -8*u(p) - v(p).\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -14 + (-3 - 0 - 7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + 61760?\nAnswer: 61759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 35*z**2 + 2*z + 3. Let y be s(0). Sort -1\/4, 4\/21, y, -1\/3.\nAnswer: -1\/3, -1\/4, 4\/21, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570.42 rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (475 - -5) + -1 + 6.\nAnswer: 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/18*60\/10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 3 = 0, -166*j + 169*j - v - 14 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of 1\/2*b**2 - 5*b - 4. What is the derivative of j(y) wrt y?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, i: 4}. Give prob of sequence iia.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0218689441 rounded to five decimal places?\nAnswer: -0.02187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of 1703*q**6\/30 + q**5\/20 - 539*q**2 - 2324*q. Find the first derivative of t(i) wrt i.\nAnswer: 6812*i**3 + 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1705643 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 457 divide 8444446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1284451*i**2 - 1284451*i**2 + 12368*i**3.\nAnswer: 12368*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uzozszaooazaassaon. Give prob of picking 1 n, 1 a, and 1 s.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 0.30388.\nAnswer: -0.30388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0061958 to four dps.\nAnswer: 0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + 1 - (-21 - -4). Suppose -f + 3*o + 7 = -2*o, -2*f + 4*o + l = 0. Calculate the greatest common factor of f and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 10, -1, -2.\nAnswer: -2, -1, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 112 and 10?\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -14. Let u = 2 - s. Is u a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - h + 2 + 0 + 2*h - h - 2*h + (1 - 3 + 0)*(2*h + 0 + 0) + (2*h - 4*h + h)*(-1 + 1 - 2) - h - 2 + 2 + 10*h + 42*h + 4*h - 4*h + h + 2*h.\nAnswer: 50*h + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 549 and 130601.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 596*b - 735. Let m be c(8). Is m less than 4033?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -6*x + 1. Let i(a) = -a - 1. Let s(d) = -4*d - 4. Let z(h) = -5*i(h) + s(h). Let q(u) = -o(u) - 4*z(u). Differentiate q(y) wrt y.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 343\/3*30978\/36141.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 o when three letters picked without replacement from {w: 2, r: 3, o: 4}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 5*v = 146. List the prime factors of v.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 796017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a + 30. Let t be h(-9). Suppose -t*v = w - 6*w + 128, 0 = 5*w + 5*v - 160. Is 5 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b1 (base 12) to base 16.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 5*l + 3*d = -26, d - 2 = l. Let q(h) = -7*h**2 + 2*h - 8. Let b(x) = -9*x**2 + 3*x - 9. Let c(o) = l*b(o) + 5*q(o). What is c(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61852?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + 12*r - 9. Let f be l(12). What is f rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 0 + 6 = 0. What is the common denominator of (-6)\/i + 66\/(-8) and 59\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -232.4834942 + -0.5258058. Let p = -232.9609 + -0.0391. Let t = g - p. Round t to three dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 286\/(-572)*-1*1.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3*h + h**2 - 2*h**2 + 10 - 4*h. Let p be b(0). Let k be (-175)\/(-28) - (-3)\/(-12). Solve -4*y - k = p for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(144) + sqrt(144) + sqrt(144)*2)*-1 - sqrt(144)))\/(-5*2*sqrt(200) - (1*sqrt(200)*-2 + sqrt(200))).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s + 3. What is the tens digit of o(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -891, -892, -893, -894, -895?\nAnswer: -896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nkoooooooponknzn. What is prob of sequence znp?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f. Suppose 4*z = 2*z + 2. Let q be i(z). Which is the nearest to q? (a) -0.2 (b) 0.4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.2421 - -6.321143. Let g = 0.045534 - x. Let u = -0.0338 - g. Round u to 5 decimal places.\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3 - (1 + 1))*-6)\/(285\/(-190))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 220612.714 rounded to the nearest 1000?\nAnswer: 221000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2947 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 3*u + 89, -4*x - 39*u + 150 = -37*u. Calculate the remainder when 963 is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wsjwwjwjlllw. What is prob of picking 1 j, 2 l, and 1 s?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 6*r + 4 = -33 - 12 - 32, 4*t - 11*r - 131 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150*s - 589*s + 193*s + 188*s + 161*s.\nAnswer: 103*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -51.355913 to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - (1 - 0)*-4. Suppose 4*c = o*p - 4, -6*c - 4*p = -2*c - 36. Suppose 2*g - 2 - 8 = -4*x, 5*g = -c*x + 19. Solve -8 + g = -u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-14))\/((-96)\/960*10\/(-64)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -2*r + r. Solve g - 3*g - 8 = r for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j + 29701 = -32149. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 3*s - 178, -35*z = 3*s - 39*z - 173. Solve -s*n = -54*n + 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -4\/11608821?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 298651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 20997538931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*v**2*z**5 + v**2*z - 34*v**2 + 13*z**5 wrt z?\nAnswer: -180*v**2*z**3 + 260*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1647 (base 12) in base 2?\nAnswer: -101001010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 + 16*o + 27. Suppose 19 = 5*x - 6. Suppose -q + 52 = x*m - m, -m - 4*q - 2 = 0. Does 10 divide z(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9705 - -9676) + -1 + -1 + 41?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - 10*j**2 - 72*j + 701. Determine y(11).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(204)*-2)\/(sqrt(48)\/sqrt(100) + sqrt(12)).\nAnswer: 20*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 552 is divided by 181?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -37136 bigger than -37135?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 + 11. Let i = 30 + -42. Does 5 divide i\/w*10\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 520033?\nAnswer: 433, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.09+0.04301471296605\nAnswer: -0.04698528703395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -485 - 85*s**3 + 485 + (s - s - s)*(s + s**2 - s) - s**3 - 2*s**3 + s**3 + (5*s**2 - 5*s**2 + s**2)*(2*s - 3*s + 2*s).\nAnswer: -87*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j**3 + 55*j**2 + 25*j + 23. Calculate p(-19).\nAnswer: -1174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277 is divided by 97.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*l**6 + 10*l**2 + 0*l**6 + 12*l**2 - 6*l**2 wrt l.\nAnswer: -1680*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 427840 is divided by 148?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -181, 0, 1 in descending order.\nAnswer: 1, 0, -181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(171) + (-4 + sqrt(171))*-5)**2.\nAnswer: -456*sqrt(19) + 3097","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1894 and 448?\nAnswer: -848512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 29304943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 - -33. Let i(u) be the second derivative of 1\/3*u**d + u + 0 - u**2. Differentiate i(x) with respect to x.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 35*n**2 - 314*n + 267. Calculate m(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2812614?\nAnswer: 2, 3, 7, 167, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -5\/17, 1, 536, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -633*t + 99011. Determine o(156).\nAnswer: 263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2062540 to the power of 1\/3, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 171*w - 1. Let p(y) = 2*y. Calculate v(p(f)).\nAnswer: 342*f - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 q when two letters picked without replacement from {w: 2, b: 3, y: 1, l: 3, u: 2, q: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 28*j + 1372. Give w(-49).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**2 - 4101865*o + 41018150.\nAnswer: 5*(o - 820363)*(o - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 254 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 91226*t**2 - 91226*t**2 - 181*t**4 - 22 wrt t.\nAnswer: -724*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 6*i + 145. Let w be d(0). Let m = 246 - w. Let x = -53 + m. Calculate the greatest common factor of x and 96.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 2\/15, -20, -2\/7, -19, 1 in decreasing order.\nAnswer: 1, 2\/15, 0.1, -2\/7, -19, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 833.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -149 (c) 1\/5 (d) 12 (e) 0.3 (f) 46 (g) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-17)\/a*a*a*a*a**(-1) assuming a is positive.\nAnswer: a**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 851894 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -608*x - 3526. Determine r(-6).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 960 and 576.\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -12, 5 in decreasing order.\nAnswer: 5, 4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**2\/9 + 91865704*c\/9 - 2109826892853904\/9 = 0. Calculate c.\nAnswer: 45932852","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*2*(-1 + -4*(-1 + sqrt(245))*-2*3*-1)**2.\nAnswer: -283298 + 15456*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2637, 0, -5, 3, 52\/3 in descending order.\nAnswer: 52\/3, 3, 0, -5, -2637","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of 3*x**5\/10 - x**3\/2 + 5*x. What is the second derivative of u(h) wrt h?\nAnswer: 36*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*m + 657 = 517. Factor -1\/3*f**4 + 1\/3*f**2 + 0 + 1\/3*f**3 - 1\/3*f**m + 0*f.\nAnswer: -f**2*(f - 1)*(f + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -346514477530.952 + 3.\nAnswer: -346514477527.952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/842 and 85\/2.\nAnswer: 842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 188, 205, 246, 323, 448, 633, 890, 1231?\n\"Answer: 2*l**3 + 3*l + 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 3:21 PM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 6*q**2 - 11. Let b(v) = -v**2. Let u(n) = -6*b(n) - c(n). What is the tens digit of u(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n + n + n + 4*n - 61.\nAnswer: 2*n - 61","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*h*m*n**3 + h*m + 2*h*n**3 - 2*m*n**3 + m*n**2 - 3*m*n - m - n**3 + 26*n wrt n.\nAnswer: -12*h*m + 12*h - 12*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + -22?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28065*l**3 - 57306*l**3 - 40621*l**3.\nAnswer: -69862*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -345278*l**2 + 3 + 5*l**3 - 3 + 345278*l**2.\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-2)*0\/17*1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/36)\/(((-30)\/18)\/5).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 5 + 17 = -z, 3*z + 3*q = 0. Let u(t) = t**2 - 5*t - 8. Let n be u(7). Let v be (-15)\/18 - 4\/n. Which is the biggest value? (a) v (b) z (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 + 21. Let v(x) = -1. Give f(y) + 6*v(y).\nAnswer: -y**2 + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2853, 11275, 25265, 44823?\nAnswer: 69949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*(-3 - (4 - 5)) - -88. Let q be (n\/(-12) + 1)*-1440. Round q to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6567938759 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 105\/(-280) + (-70)\/(-16). Let d = 0.15 + -9.15. Let u = -4 - -4.5. Which is the third smallest value? (a) d (b) u (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11131?\nAnswer: 11131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10\/4*-2)\/(-1). Let p = -3 + 3. Which is the nearest to -0.2? (a) w (b) p (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26 by -148.\nAnswer: -13\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -2*u**5\/15 + u**4 - 26*u**3\/9 + 4*u**2 - 8*u\/3 + 11. Factor w(g).\nAnswer: -2*(g - 2)**2*(g - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*k + k + 94 - 5*k - 4*k + 3*k in the form d + j*k and give d.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.2 - 0.3. Let x = 0.8 + a. Is 9 bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -62143*y + 63213*y + 13910 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y + 7. Let u be c(4). What is the third derivative of 0*v**3 - v**2 + 5*v**2 + v**3 + 5*v**u wrt v?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 y when two letters picked without replacement from {e: 2, q: 1, y: 1, u: 2, d: 1, t: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -14528\/6737?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of w**6\/10 - w**5\/60 + w**4\/24 - w**3\/6 + w**2. What is x(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37771)\/(-1284) + (-125)\/300?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/16 - (-3 - 225\/16)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -0*r - 15, -r = n - 18937. Suppose n = 5*o + i, -i = -3*o - 802 + 12164. What are the prime factors of 2\/13 - o\/(-52)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 1975*m**2 + 40*m + 3. What is the thousands digit of f(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, -1\/7, -17, -1, 124826 in descending order.\nAnswer: 124826, -1\/7, -1, -3\/2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 495 + -490. Solve -2*y + 3*y = -p for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yuaauyuuuyaayu. What is prob of sequence auyy?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 241*b**2 - 32*b + 172*b**2 - 26*b + 154*b - 96*b.\nAnswer: 413*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) - (sqrt(1100) + 1 + 1 + sqrt(1100)))**2.\nAnswer: 40*sqrt(11) + 1104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.086366km in meters?\nAnswer: 5086.366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 33.4, 14, -0.5, -19, -4, -0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkcklyizyyzk. What is prob of sequence zyk?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*f = -3*s + 36*f - 8, -5*s - 5*f = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39.212 - 2.018. Let w = c - -41. Round w to two decimal places.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -6*d + 8. Let r be t(1). Let u = 20 + -16. Does 8 divide (u + 76)*r\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -11. Let b(d) = -d + 37 - 71 + 29. Calculate b(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 + 31. Let n(o) = o**2 - 3*o + y*o - 2*o - 3. Determine n(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l - 5*m + 2, 0*m + m = -l - 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 53135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of o**3\/18 + 7*o**2\/3 - 190*o\/3 + 5828. Factor z(f).\nAnswer: (f - 10)*(f + 38)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(100\/(-30))*-1*(-2)\/(-60)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 100*j - 3092 = 0, -399*f = -402*f + 4*j + 118 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -21, -35\/8, 4 in ascending order.\nAnswer: -21, -35\/8, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + u - 3)*(-1 - 8 + 25711*u**3 - 25649*u**3).\nAnswer: 62*u**4 - 9*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -8*w + 2. Let n be a(2). What is the units digit of (-94)\/n - (-14)\/49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4733, 10917, 18509, 27509?\nAnswer: 37917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 66*l**2. Let c(x) = -84*x**2 - 2. Determine c(b(t)).\nAnswer: -365904*t**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*k = 0, -n = 2*n - 3*k. Suppose n = -0*s + s - 42. Let c be 54\/s + 6\/(-21). Solve -2*x + x = c for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.7 and 2639.673.\nAnswer: 1847.7711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 517540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57793?\nAnswer: 57793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -800219780 divided by -160043956\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 144594917 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5421 - -5420.912. Which is the nearest to -2\/13? (a) 2 (b) -3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 41 + -25 + 0 + 17?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 324693?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*k - 14850 = 8*k. Suppose 76*w = 66*w + k. Calculate the smallest common multiple of 165 and w.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -68*i + 823. Let g be r(12). Calculate the greatest common divisor of g and 2863.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2155364890?\nAnswer: 2, 5, 7, 17, 106543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 365 - 127 = 0. Let x(l) = -16*l**3 - 2*l**2 + 1. Let k be x(-1). Is 8 a factor of b\/(-10) + (-6)\/k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67.42314s to hours.\nAnswer: 0.01872865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3*g - 4184 = 0, 0 = 2*r + 7*g - 0*g - 2058. Is 2 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, -36, -149, -310, -519, -776?\nAnswer: -1081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 5 - 2 + (-1 + 0 - 1)*(-3 + 2 - 1) + 2 + 0 - 1 + 2 - 6 - 1)*(2*p**2 - 5*p + 5*p) + 2*p**2 + 2*p - 1 + 1 to t*p**2 + w + m*p and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + 6*s + 9. Let n be l(7). Suppose -3*j + 4*f + 15 = -19, n = -2*f. What is the smallest common multiple of j and 5 + (4\/28 - 1\/7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2065 - 2062. What is the third smallest value in 1\/2, q, -2\/7, 4\/93?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 6. Suppose 30 = z*q - 3*t, q - 12 = 3*t + 6. Suppose -q*p + p = -410. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -7*((-8)\/(-14) - 2). Let h be j\/(-25) + (-124)\/(-10). Suppose -2*i = g + 3*g - h, 5*i - 14 = -2*g. Solve 1 = -i*f - 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 3*h = 6, -h + 26 - 38 = -4*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u + 3*u + u)*(-11 - 3 + 1) - 6*u + 3 - 3.\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -479*f - 37468 = 813*f for f.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -7140916 - -10316095. Suppose 7*u + 26037179 = a. Round u to the nearest one hundred thousand.\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -5*y + y + 20, 4*y - 20 = -5*p. Suppose p = -8*r - 2*r - 10. Which is the second biggest value? (a) -0.2 (b) 2\/11 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 193*l + 0 + 1698*l**2 + 194*l - 1736*l**2 - 1.\nAnswer: -38*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3501101, -7002213, -10503325, -14004437?\nAnswer: -17505549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1258 and 986.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of 11*i**4\/2 - 2*i**3\/3 - i**2 - i - 42. Determine f(-1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 3*p - 2838*p**5 + 2901*p**5)*(-2 + 4 + 2).\nAnswer: 252*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 524858743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.46775 micrograms in tonnes?\nAnswer: 0.00000000001946775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 57 = -2*z - 7, -z - 88 = -3*n. Let o(g) = -5*g - 3. Let c be o(-9). Calculate the highest common factor of n and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 626 (base 12) to base 8\nAnswer: 1576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 37*b**2 - 113*b + 304. Let v be s(-40). Calculate the highest common divisor of 5040 and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -13 + (2 - -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (32*m**2 + 40*m - 40*m)*(-11 - 3 - 13)*(3*m - m + 0*m) to the form h*m**3 + r + u*m**2 + z*m and give h.\nAnswer: -1728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101302313300332 - 0?\nAnswer: 101302313300332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 3*s**3\/2 - 7905*s**2 - 95118*s + 221844 = 0.\nAnswer: -14, 2, 5282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 867039 and 930.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-40)\/(1\/(-4)*(-8)\/(-36)). Let w = 722 - b. Solve w*s + 0*s = -2*p + 2, 0 = 5*s + 3*p - 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -8*i**2 + 7*i + 2. Let o(j) = 51*j - 137*j - 3 + 9*j**2 + 78*j. Give -7*f(n) - 6*o(n).\nAnswer: 2*n**2 - n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**3 + r**3 - 2*r**3 + (3 - 3 - 6*r**2)*(4*r - 2*r - 15*r).\nAnswer: 76*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of 0*s**3 + 0 + 0*s**2 - 1\/80*s**5 + 0*s**4 + 14*s. Factor l(w).\nAnswer: -w**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 1:47 AM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1*(-20)\/(-350))\/(3\/10). Let n = l + -19\/84. Which is the closest to 1? (a) -1 (b) 2\/9 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 62 + -61. What is the closest to h in -3, -0.5, 12?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113889711 is divided by 8301.\nAnswer: 8292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1139, 2353, 3721, 5321, 7231, 9529, 12293, 15601?\n\"Answer: 13*z**3 - z**2 + 1126*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 55 - 43. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29765016 by -275602.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35.2 - 7.9. Let d = g + 38. Let k = -1.1 - d. Which is the second smallest value? (a) 2\/17 (b) -0.2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 41978*p**4 - 762*p**3 + 319516007*p**2?\nAnswer: 1007472*p - 4572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 5. Let s = 317 - 320. What is the biggest value in -4, s, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 14 + 9?\nAnswer: 1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 16.0337g?\nAnswer: 16033700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 78*i = 81*i + 23, 33 = -2*o - 5*i. Which is the closest to 2? (a) 0 (b) o (c) -0.2 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 384082072 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 34423 <= 34401?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/2 - 1695*u - 3392.\nAnswer: (u - 3392)*(u + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -3*p - 92. Give n(-32).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 215170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 4 = -16. Which is smaller: g or 8\/3?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (6\/(-18))\/(2\/(-1146)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8877 and 7601.\nAnswer: 6134007","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2575.1 - -2327. Let n = -249 - o. What is the smallest value in n, -1\/2, -0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(-2))\/(-2*(-11)\/(-616)). Which is bigger: 38\/3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -18. Which is the second smallest value? (a) -5 (b) 0 (c) o (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 7 - 3. Suppose -5*p - 5 = 0, -z = z - 2*p - v. Put 2\/11, -1, z in ascending order.\nAnswer: -1, z, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -24 (c) 0.18482\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*p**3 - 44*p - 21*p + 65*p - 14*p**3.\nAnswer: -28*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6\/40*440\/(-88)*2\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 56*w**2 - 1352*w - 57. Determine x(24).\nAnswer: -249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 62527 and -80?\nAnswer: 62607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24023113 (base 5) to base 4.\nAnswer: -311303320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*q = -g + 16, 3*g - 40 = -2*q. Suppose -i + g = -9. What is the smallest common multiple of i and 27?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4097460?\nAnswer: 2, 3, 5, 47, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 2:16 PM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 241217460 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (299 + t**2 - 299 + (4*t - 2*t - 4*t)*(0*t - 4*t + 2*t))*(-10*t + 4*t - 4*t).\nAnswer: -50*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -463498?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w + 3. Let p be h(0). Let d = 49 - 97\/2. Find r, given that 1\/4*r**p - d - r**2 + 5\/4*r = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 h when three letters picked without replacement from {h: 7, x: 12}?\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of 2*k**5\/5 - k**4\/2 - 14*k**3\/3 + k**2 + 12*k - 405. Determine h so that i(h) = 0.\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20 * 0.12.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 782247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1042 divided by -226\nAnswer: 521\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -8 - 2*o + o + 1. Let d be h(-9). Solve j + 0 = d for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*y - 14 = -6*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*l = 17*l. Suppose l*j + 3*j = j. Suppose 2*d - 6 - 36 = -4*r, -d - 3*r + 25 = j. Calculate the greatest common divisor of d and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8620 divided by -5.\nAnswer: 1724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 224*m**2 - 161*m**3 + 71*m**3 + 89*m**3 as t*m + o*m**2 + p*m**3 + r and give o.\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18912285517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7551 to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -269, -264, -257, -248?\nAnswer: -237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -40 * -130.052.\nAnswer: 5202.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2430423343114 + 1?\nAnswer: 2430423343120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 k when two letters picked without replacement from qxwqkle.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 - 13. Calculate the smallest common multiple of 80 and j.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 AM and 5:42 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*x = -47*x - 5*d - 6, -23*d = -3*x - 22*d + 22 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of -23*m**5\/20 + 40*m**3\/3 + 45*m**2\/2 - 103. Let c(h) be the second derivative of o(h). Differentiate c(w) with respect to w.\nAnswer: -138*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(63)*-6 - 4*sqrt(252))\/(((((6*sqrt(99) - sqrt(99)) + sqrt(99))*2 - sqrt(99)) + sqrt(99) - sqrt(99))\/sqrt(11))*-4.\nAnswer: 80*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2\/(2 + 1*(-6)\/4) and 1 + (0 - (-7)\/1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8194345 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 16) to base 14\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*v + 5*v - v)*(-2252*v + 6162*v - 347*v + 12420*v - 259*v) to the form a + l*v + d*v**2 and give d.\nAnswer: 15724","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**3*a)**(-7)*(a\/(((a\/(a*a*a**(-13)))\/a)\/a)*a)\/a**(-8) assuming a is positive.\nAnswer: a**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 144*m**4 + 3756*m**3 - 3524*m**2 + 1076*m - 108 = 0.\nAnswer: -27, 1\/4, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 231792971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1282922*7.\nAnswer: 8980454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -14182\nAnswer: -42546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001896879935 rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155 = -2*v - 111. Which is smaller: v or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*y**2 - y - 1082164*y**3 + 14*y**2 - 6*y**4 + 1082162*y**3 to the form r*y**4 + q + m*y**3 + l*y + c*y**2 and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w**3 - 38840*w**2 + 466745*w - 427900 = 0.\nAnswer: -7780, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-14 + -14)\/14*694124\/(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -1552, -9 in decreasing order.\nAnswer: 21, -9, -1552","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 AM and 8:39 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 3*y - 2*l, y + 771 = -5*l + 791 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of n**3*p**3 + 277*n**3*p + 459292*n**2*p**6 + 225*n**2*p**2 wrt p?\nAnswer: 6*n**3 + 55115040*n**2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.18353 milligrams in tonnes?\nAnswer: 0.00000002418353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 + -11. Let o = -17 - t. Suppose -o = 6*f - 96. Calculate the remainder when 39 is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-6 - (-1 + 4 - 5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 4*m - 150. Let t be s(10). Does t = -108?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -13, -23, -29, -31?\n\"Answer: 2*v**2 - 16*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 16*n - 163. Let r be w(7). List the prime factors of (r\/(-3))\/(2\/375).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 108.9 and -0.19.\nAnswer: -20.691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000262293144 to 5 dps.\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/3 or -6763?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of -i**5\/4 - 5*i**4\/3 - 10*i**3\/3 + 25*i. Let w(z) = 0. What is z?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81486.47g in milligrams?\nAnswer: 81486470","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 2. Let m(s) = 8*s**2 - 2*s - 5. Calculate the remainder when m(-2) is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of 1 + 0*b + 0*b**2 + 0*b**4 - 1\/120*b**5 - 2\/3*b**3. Let k(m) be the third derivative of t(m). Let r(x) = x**2. Give k(r(d)).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -29.1 and -158.\nAnswer: 4597.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-9)*(-9)\/(-2). Let j = 1 - i. Let s be (-2)\/(-2) - (-2 + j). Solve 2*v + 2*u = -8, -4*v + 2*u + 1 = s for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-66 - -81) + 40 + -67 + (1 - 78).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 4*w - 24279992, 18210006 = -2*d - d - 3*w. Round d to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 2272335 = 5*k, -2*r - 282795 = 2*k + 853373. Let u = -258085 - r. Round u to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0105 and 650.905.\nAnswer: -6.8345025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1374.851 centuries to months.\nAnswer: 1649821.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1378 times -9.3639\nAnswer: -12903.4542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of 5*o**2\/2 - o - 2. Let h(r) = -4*r + 1. Suppose -y = -g - g + 14, g - 2*y - 7 = 0. Calculate g*h(l) + 6*d(l).\nAnswer: 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -y + 1, 3*z - 2*y + 2 = -0*y for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -71 + 11*i + 45*i - 62 - 39*i. Let a be n(8). Solve -o = 5*l - 4*o + 7, a*l = -5*o + 23 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -46, -18.9, -2\/9?\nAnswer: -18.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 k when three letters picked without replacement from kkrkfrkrrb?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2 + 66\/4)\/(20 + 1490449\/(-74524)).\nAnswer: 2, 29, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zq when two letters picked without replacement from zqzopppzpzpoopnzn?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z + 2. Let b(o) be the second derivative of o**3\/6 - 7*o**2\/2 - 5*o. Let k be b(5). Let m be q(k). Solve 2*u - 3*h - 1 + 0 = m, -2*u = 2*h + 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 89140 - 0.15.\nAnswer: 89139.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j - 6. Let h be y(5). Let u(k) = -3*k + 4. Let m(q) = 7*q - 9. Let w(l) = h*u(l) + 4*m(l). What is w(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 29 - 133. Calculate the remainder when t is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 3 = 5*k + 15, 287*y - 288*y - 3*k = 12 - 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -g + 3, -2*y - g = -6 + 2. Let b be 4 - -1*(-1 - y). Find the third derivative of -7*c**6 - 3*c**2 - 3*c**6 - c**6 - 7*c**b wrt c.\nAnswer: -1320*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 6, i: 6}. Give prob of sequence izi.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 275 + 130. Suppose 5*z - 2*x - 7 = -0*z, 2*z = -x + 10. Suppose z*v = -v + 36. What is the greatest common factor of v and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-31)*c**8)\/(c**(-30\/11)*c\/c**6) assuming c is positive.\nAnswer: c**(-168\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 11) + (-2 - -45 - 17)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26321*q**4 - 30*q**3 + q**2 - 2*q - 181836 wrt q.\nAnswer: -631704*q - 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13165510 is divided by 4388501?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 219822 + -219817. Let l = -2.6 + 3. Sort v, -14, 2\/3, l in increasing order.\nAnswer: -14, l, 2\/3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 323 = -4*h + 23. Suppose -37 = l + 4*q, 3*l - 5*q = -l - 232. Let x = l - h. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - n = 2*o, 5*o + 5*n = 0. Suppose o = -q - 4*q + 5. Is -1 > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7\/290 - -3998\/435. What is the common denominator of -13\/24 and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17546 is divided by 950.\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 4*l + 113 = 523, 245 = 2*o - 3*l. Let d = -60 + o. Does 17 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 208 = -4*l, 5*l + 148 = -5*g - 92. Does 13 divide l*((4 - -1) + -35)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-67) - 29988\/(-938). Suppose -q + 3*q = 16. Let b be q\/k + (-78)\/(-8). Solve b*p - 5*p - 5 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17989 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 16) to base 7\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1602 in -2\/11, -9, -1.6, 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of -u**5\/6 + 19*u**4\/24 - 16*u**2. What is the second derivative of b(r) wrt r?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5318527, 5318529, 5318531?\nAnswer: 5318533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0215691473 rounded to four dps?\nAnswer: 0.0216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 375469284 is divided by 50.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30031, 30164, 30297, 30430, 30563?\nAnswer: 30696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aqm when three letters picked without replacement from aqmvvkvmqqkxqa.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 440 - 440. Suppose o = 5*j + 3832 + 3618. What is j rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + p = -8*m + 124, 2*p - 123 = -5*m. Solve l - m = -4*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 g, and 1 c when three letters picked without replacement from {c: 11, d: 1, g: 1, o: 2}?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -326 + 466. Does 10 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -35 and 0.39959.\nAnswer: -13.98565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - 8*v**2 - 6*v + 10. Let m be t(-7). Let f = m + 0. Let h be (-3)\/5*(15\/5 + 2). Put f, 1, h in descending order.\nAnswer: f, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(33)\/sqrt(3) + -1*sqrt(1584).\nAnswer: -11*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (9*6\/(-126))\/((-5)\/(50\/5))\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s**15\/s)*s**(-3\/14)*s*(s\/s**(1\/62))\/s*(((s*s**(-36)\/s)\/s)\/s)\/s assuming s is positive.\nAnswer: s**(-11117\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1006460 and 32.\nAnswer: 8051680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 454\/7 + -5036\/77. Let w(z) = z**3 + 4*z**2 - z - 4. Suppose -4*h + 4*d = 8, -h - 5*d = -2*h + 6. Let q be w(h). Which is smaller: l or q?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -478, -566, -654, -742, -830?\nAnswer: -918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 132\/24 + (-1)\/2. Does 14 divide (18 - w) + (-2)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 - -2)*(-4)\/6. What is the units digit of h + -3 + 11 + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus -0.0075?\nAnswer: -0.0075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 0.092, -2\/15, 123\/52, -5, 3?\nAnswer: 0.092","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 AM and 11:02 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -16*9091964\nAnswer: -145471424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30770281*m**3 - 36965996 with respect to m.\nAnswer: 92310843*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3*d - 40 = 0. Let z = d + -5. What is the units digit of ((-1)\/3)\/((-5)\/z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 81292 and 1084.\nAnswer: 22030132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 310 + -100023122232?\nAnswer: -100023121322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a kilometer in centimeters?\nAnswer: 90000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 66.159 + -0.159. Let t = 66.0067 - j. What is t rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 55772*a**5 - 374*a**4*f**3 - 97*a*f**3 + 2*a + 2*f + 25836 wrt a?\nAnswer: 1115440*a**3 - 4488*a**2*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 168?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 14*n**3 + 47*n**2 + 232*n + 139. Let l(j) = -40*j**3 - 142*j**2 - 688*j - 418. Let f(t) = 14*a(t) + 5*l(t). Factor f(b).\nAnswer: -4*(b + 1)*(b + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 168 = 4*s, -6*l + 3*l + 170 = 5*s. Let q(d) = d**3 - 37*d**2 + 2. Let z be q(s). Let v(w) = -w**3 + w**2 + 3*w - 2. Determine v(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/2448 and -121\/1020?\nAnswer: 12240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39628\/4185 + 294\/31. Is n greater than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1089933 and 8.\nAnswer: -8719464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 3*c - 2 + 12 + 15*c - 7*c - 37*c.\nAnswer: -32*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15383.9*-0.06.\nAnswer: 923.034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*2\/(-62)*6. Let m = n - -135\/217. Sort 0, m, -2 in decreasing order.\nAnswer: m, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26124.87 litres to millilitres.\nAnswer: 26124870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 + -0.2. Let h = -2897.95 - -2835. Let s = h - -63. Which is bigger: s or b?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.18, 80, 0.05, -72, 3 in descending order.\nAnswer: 80, 3, 0.05, -0.18, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 709?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12220 = 115*o - 304*o - 46*o for o.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 1305802 (c) 0.1 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = 11*m + 12. Is 7 a factor of 278\/6 + m\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1425 or 1429?\nAnswer: 1429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - (0 + 5)) + (-98 - -110)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -13364 (base 8) in base 3?\nAnswer: -22001122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 772741032 to the power of 1\/2, to the nearest integer?\nAnswer: 27798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1462a2 (base 11) to base 13\nAnswer: -7c9b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 + 14*s - 12. Calculate the lowest common multiple of 22 and k(12).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.5 - -0.9. Which is the closest to 0.1? (a) 0 (b) 5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*x - 6*x - 5*x to the form b*x + m and give b.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/(sqrt(7) + sqrt(28)))\/((sqrt(9)\/sqrt(3) - sqrt(3))*-2 + sqrt(3)) + (-4*sqrt(128)*2 - -1*(sqrt(128)*2 - sqrt(128))).\nAnswer: -167*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - (0 + 4)) + (3 - 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 326972740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**9*g**(-8))\/((g*g*g\/(g\/(g**(-11)*g)))\/g*g*g\/g**(1\/12)) assuming g is positive.\nAnswer: g**(97\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 173 = -4*y + 561, -3*f + 632 = -4*y. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 + 23. What is the remainder when 19 is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/7)\/o*o)**(4\/17) assuming o is positive.\nAnswer: o**(8\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 103 (base 12) to base 3\nAnswer: 12110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34.94 + -0.06. Let y = l + 29.8. Let h = y - -2.8. Round h to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1516, -1494, -1468, -1438, -1404?\n\"Answer: 2*j**2 + 16*j - 1534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-138)\/(-5313))\/(232\/319).\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 22*q**2 - 24*q**2 + 0 - 17*q**4 to h*q**2 + s + n*q**3 + u*q + o*q**4 and give o.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y. What is j(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.4 - 0.6. Suppose l - 4*l = -12. Suppose -7*n = -l*g - 4*n + 22, -2*g + n + 10 = 0. What is the second smallest value in q, 3, g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -572.12074785015 - -0.12075695015. Let j = g - -572. What is j rounded to seven dps?\nAnswer: 0.0000091","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16305 + -16307. Let b(g) = 8*g**2 + 2*g + 4. Let u(f) = -7*f**2 - f - 3. What is k*b(d) - 3*u(d)?\nAnswer: 5*d**2 - d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34560 and 22905?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -34, -77, -154, -277, -458?\nAnswer: -709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00009347465 rounded to six decimal places?\nAnswer: -0.000093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/4 - 5) + 14\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 433013, 433010, 433007, 433004, 433001?\n\"Answer: -3*l + 433016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -295*z**2 - 2*z - 60 wrt z?\nAnswer: -590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 24\/(-651)*-27 - 4\/14 and 53\/9?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**4\/13 + 560*c**3\/13 + 8544*c**2\/13 + 25344*c\/13 = 0. What is c?\nAnswer: -264, -12, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 106*v - 566 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -80184430 at most -80184431?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*s - 303 - 246 = -124 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(171)*2)\/sqrt(3))\/(-2*sqrt(27)*-2))**2.\nAnswer: 475\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -180\/17 at most as big as -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l - 3*l + 100365 - 100365.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 22989 to the power of 1\/2, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of 2957*s**3\/3 + 636*s + 4162. Differentiate r(u) with respect to u.\nAnswer: 5914*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -10719875\nAnswer: 1\/10719875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -33, -44, -55, -66, -77?\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*r**3 + 19*r**3 - 12*r**3.\nAnswer: 65*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*o = 51*o + 1200. Let f = o - 129. What is the remainder when 39 is divided by f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 570 + (-3 - 1)\/(-4). Let m = x - 348. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 3*l - 12 = 0, 18 = 99*r - 104*r + 3*l for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84946695 and 12735?\nAnswer: 4245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 4 = -7*a + 4*m, -a + 2*m - 4 = 0. Let v(s) be the second derivative of -s + 3\/2*s**2 + 0 - 1\/2*s**3. Calculate v(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 + (-528)\/(14 - 47).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d + 87*d**2 + 1 - 27 - 88*d**2 = 0. What is d?\nAnswer: -13, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 861 < 783?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuuuzuuuuu. What is prob of sequence zuuu?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/((-3)\/(1 + 2)). Suppose b = 2*l + 9. Let x = 2.3 - 0.3. What is the third biggest value in l, 3, x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1735 is divided by 56?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 15 = 0, -3*g + 2*p + 562 + 125 = 0. Differentiate -53 - 141*r - g + 415 with respect to r.\nAnswer: -141","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 21974200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 5*i**2 - 4*i + 5. Let z = -3 - -7. Let w be c(z). Calculate the highest common divisor of 10 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of -1\/8*l**4 + 0*l + 1\/12*l**5 + 2*l**2 + 5\/6*l**3 + 0. Is b(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 8*z**2 - 3*z + 8. Let k be o(-11). Let i = -226 + k. Suppose 350 + i = 4*q. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 40 = 19*j + 5*j. Put -4, j, -40 in increasing order.\nAnswer: -40, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3*b**2 + 2284*b - 15853. Determine n(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5\/56 - -79\/56. Let y(q) be the first derivative of 5*q + z*q**2 + 2. What is the first derivative of y(k) wrt k?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 50, 75, 90, 89, 66?\n\"Answer: -p**3 + p**2 + 29*p + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 5*r + 39220. Let n(b) = 44*b**2 + 4*b. What is q(n(w))?\nAnswer: 220*w**2 + 20*w + 39220","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -4*f**2 + 60*f - 9. Let m(r) = -6*r**2 + 90*r - 13. Calculate 7*c(a) - 5*m(a).\nAnswer: 2*a**2 - 30*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, c: 2, b: 1}. Give prob of sequence pc.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**4\/7 - 228*c**3\/7 + 207*c**2.\nAnswer: 3*c**2*(c - 69)*(c - 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -3, -2, 11, -1 in descending order.\nAnswer: 11, 7, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 1774*k - 37. Is h(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 735 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, 15, -4, -106, -5.\nAnswer: -106, -5, -4, 15, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 10*o + 14129 = 12*o, -c + 2*o + 2821 = 0. Let a = 1045 - c. Round a to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n**4\/5 + 64*n**3\/5 - 116*n**2\/5 + 56*n\/5 = 0.\nAnswer: 0, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -131617, -526452, -1184511, -2105794, -3290301?\nAnswer: -4738032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 0.5, 1740, 0.4, -96?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**(-8\/11)\/z))\/z*z**(-17))\/((z\/z**(-15))\/z**11) assuming z is positive.\nAnswer: z**(-223\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2157, -2159, -2155, -2139, -2105, -2047, -1959?\nAnswer: -1835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-156)\/65)\/((80\/25)\/(-8))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 26076 (base 11) in base 8?\nAnswer: 110747","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 257423 and 137?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -15572.56 to the nearest one thousand.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 350642149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.02 + -5.02. Let l = v + 6. Let y = 1.1 - l. Is -1\/2 < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9021*-0.163\nAnswer: 1470.423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3460731 days to hours.\nAnswer: 8.3057544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o - 11. Let w be h(-5). Suppose -2*i - 5*j + 64 = 0, -3*i = -2*i + 2*j - 32. Let r = w + i. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -64754, -64771, -64788, -64805?\n\"Answer: -17*s - 64737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i\/i**(-3\/5))))\/((i*i**3*i*i)\/i)*(i\/(i**(-1\/3)*i))**45 assuming i is positive.\nAnswer: i**(58\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - p + 5*d - 21, 10 = -2*p + 3*d. Let g = p + 1. Let b be (-2 + 1)\/(-1) + 3. Solve -g*n + b = -n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2050476, 4101027, 6151566, 8202087, 10252584, 12303051, 14353482?\n\"Answer: -c**3 + 2050558*c - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by 21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by -18985.\nAnswer: -13\/18985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2996\/1926 - 309\/(-27).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -38*u + 189. Let l be n(5). Suppose -6*s + 330 = 9*s. Which is the nearest to 0.2? (a) l (b) 1\/9 (c) s (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1282.4, -0.5, 5, 4 in decreasing order.\nAnswer: 5, 4, -0.5, -3, -1282.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -0.3 (c) -2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-53 + 56 - 8) + 20\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 897 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 6, -3, 2, 2\/3, -1\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.36 + 0.04. Let u = -2 + -1. What is the biggest value in u, -1\/3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/1 + (-870)\/(-1218). What is the nearest to 0.066 in 1\/3, -2\/3, n?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2455*g**3*n**2*t - 4*g**3*n**2 - g**2*n**3*t + 3*g*n**3 - 194*n**2 wrt t?\nAnswer: -2455*g**3*n**2 - g**2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/3 + 878*r**2\/3 + 121001*r\/3 - 40626.\nAnswer: -(r - 999)*(r - 1)*(r + 122)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 - (-130)\/(-35) - (-1 - 78\/21). Solve -i - a*r + 316 - 286 = 0, -20 = -4*r for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (25 - -1 - (1 + -9 + 25)) + -3 + 76?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1020914 is divided by 822.\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 14. Let m be 1\/((-1)\/((-2)\/2)). Solve -4*a + 4 = -2*s, 3*a - 4*s + m - w = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -697, -2, 5, -4, -49, 3 in increasing order.\nAnswer: -697, -49, -4, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*p - 50 = 13 + 18 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -5*h - 3. Let d(j) = j - 5. Let l be d(7). Suppose -u + 0*u = l*y - 11, -5*u - y = -10. Let g(k) = k + 1. Determine u*z(r) + 4*g(r).\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 4*u - 225. What is q(49)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 811 divide 3294680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 p when two letters picked without replacement from {f: 3, m: 4, y: 6, q: 1, p: 1}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x + 2. Let l be v(12). Let o be 12\/5 + 4\/l. Let c = -0.3 + -0.2. What is the smallest value in c, o, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + 39. Give j(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**2 + 42*r - 18. Let v be b(-21). Calculate the least common multiple of 12\/(-4)*(-22 - v) and -1 - (-25 - (-2 - 0)).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of -n**5\/30 + 3*n**4\/2 + 7*n**3\/6 - 48*n**2 - 12. Determine t(18).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5 - 1 - (-2 + 1). Let a(o) be the first derivative of o**3\/3 + 2*o**2 + o - 39. Determine a(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -857 - -889. Calculate the remainder when l is divided by (-6)\/4 + (-185)\/(-10).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.5374 - 0.5004. Which is the third smallest value? (a) -1 (b) -2 (c) -3 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*j + 10795*j**3 - 51 - 7539*j**3 + 51 as c + d*j + g*j**2 + m*j**3 and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088)*3 + sqrt(1088) - sqrt(1088))**2 + 2.\nAnswer: 9794","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -1 + sqrt(153) + (sqrt(153) + 5)*-4)**2 + 4.\nAnswer: 378*sqrt(17) + 1822","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5816616*k**4 - 3*k**3 + 107084942*k**2 wrt k.\nAnswer: 139598784*k - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -5*y**2 + 50*y - 105 = 0?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 24 = -2*c, 6 - 26 = 4*c + 3*f. Let d be ((-25)\/c)\/(-5)*-20. Let r = 4 + 16. What is the greatest common divisor of r and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/15 in 5, 60.5, 33?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -180857 (base 12) to base 8\nAnswer: -1454303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 62850 and 950?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - l - 561, o + 89 = -3*l - 43. Let s = -131 - o. Calculate the highest common factor of s and 160.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 6 = -w, 0 = -2*o + 4*w + 49 - 53 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -450, -693, -936, -1179, -1422, -1665?\n\"Answer: -243*t - 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2122032 (base 4) to base 14.\nAnswer: -3850","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 0. Let r = -45 - -42. What is the closest to q in 0, r, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 5*l - 1027, 4*l - a + 3*a = 816. List the prime factors of l.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25276\/17800 + 2*(-3)\/(-75)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 172.8262 + -66.27.\nAnswer: 106.5562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (14\/(-6) - -2)\/(5\/(-30)). Suppose h - 29 = c*m, 0 = 4*h + 2*m + m - 72. Suppose 3*s - 396 = -3*y, s - h = 5*y + 141. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -3, 285, 0.4, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 154\/33 - 2\/(-6). Suppose q*j = 11 + 19. Solve 5*s = 20, j*d - 2*s = 3*d + 7 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -9*x + 53. Let n = -1754 + 1760. Calculate o(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of 7*j**4\/2 - 7*j**2 + 21. What is the second derivative of h(q) wrt q?\nAnswer: 84*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 6*v + 12. Let u be (72\/(-16))\/((-2)\/v). Let j be 6\/u*6 - 4. What is the second biggest value in 0.3, j, -0.06?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 402 divide 49854242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2\/7 (b) 3\/4 (c) -4\/5 (d) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (4 + -3 - 2) - 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -130353 - 0.067?\nAnswer: -130353.067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + 6 + (16 - -6) + 107?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 divided by -37?\nAnswer: 19\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - -137805.\nAnswer: 137802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7234031.07679034600664 - 0.07671734600664. Let n = 7234025 - w. Let c = n - -6. Round c to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 184623 and 247191.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 + 6*t + 11. Let l be x(7). Suppose 0 = -l*g + 3*s + 6227, 4*g = -g + 3*s + 7786. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -140 - 222?\nAnswer: -362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j + 2 + 3 - 4*j. Suppose -f - 4 = -8. Give l(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -249 less than or equal to -691?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 + 66. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5285880 and 4554?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g - 10. Let u be b(7). Suppose -u = -5*j + 9. Find y, given that -2*y**5 + 4*y**4 + y**3 + y**3 - j*y**2 + 0*y**4 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -79 + 72. Let c(f) = 9*f**2 - 7*f. Let p(g) = -4*g**2 + 3*g. What is z*p(k) - 3*c(k)?\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -274, 3, -3, -4 in decreasing order.\nAnswer: 3, -3, -4, -274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*a + 3, 2*o - a = 71. What is the greatest common factor of 119 and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + 17*c - 19. Is 10 a factor of p(15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 14, 5, -4, 2.\nAnswer: -16, -4, 2, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -10879 divided by -4?\nAnswer: 10879\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -8*l**2 - 2*l + 4. Let m(x) = 5*x**2 + 836*x - 836. Let z be m(1). Let o(d) = 8*d**2 + 2*d - 3. Give z*o(t) + 4*w(t).\nAnswer: 8*t**2 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3096 - -3101. Solve 0 = -2*j + 2*a + 2, o*j + 27 = -11*a + 8*a for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3*i**2 - 8*i - 2. Let w = -13926 + 13919. Let d(u) = -5*u**2 - 15*u - 3. What is w*t(c) + 4*d(c)?\nAnswer: c**2 - 4*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -208*a - 695 wrt a.\nAnswer: -208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.28 + 0.58. Which is the second biggest value? (a) -1\/4 (b) 5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-10) + (-48)\/(-20). Suppose t*l + 0 = 10. Let b = l - -1. Calculate the highest common factor of b and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 + 8*f + 3. Let r be p(8). Suppose 2*o + 5*h = 59, 6*h = -r*o + 3*h + 75. Does 44 divide (o\/(-4))\/(-1 - 31\/(-32))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 36, -0.4, -0.3, 1\/2, 0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 + ((-357)\/(-204))\/(2\/16)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.3 - -1.3. What is the nearest to w in -0.3, -5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, 1.8, -1.02, 1, -4.8?\nAnswer: -4.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9896 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/9 in 46, 1\/4, 13?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of s**6\/20 + 9*s**5\/20 + 9*s**4\/8 - s**3 - 9*s**2 - 64*s. Factor t(i).\nAnswer: 3*(i - 1)*(i + 2)**2*(i + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x - 16. Let w be d(-15). Let k be (-1)\/((-4)\/(-6) + w). Sort -2, -4, k.\nAnswer: -4, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5\/3*i - 25\/3*i**2 + 25\/3 + 5\/3*i**3 = 0. What is i?\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -240f6 + -2?\nAnswer: -240f8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3 - 956*m**2 - 2896*m - 1936.\nAnswer: 4*(m - 242)*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + 5\/(10\/412). Let a = i + -79. List the prime factors of a\/15 - 2\/(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4\/5 (b) 2.851 (c) -4 (d) 1.9 (e) -19\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*x + 39*x - 279527 = -276287 for x.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 6*u - 3*t = -30, 3*u = 5*t + 8. Let d be 96\/8*4\/u. Solve -d*p + 15 = -13*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 2. Let t(b) = 1 - b + 0*b - 3. What is the least common multiple of i and t(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 4 = -4*v - 2*z, -5*v - 14 = -z for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -52.96602 and 5011.9.\nAnswer: 4958.93398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4312 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -70*n + 71*n + 5*l, 4*l - 35 = 5*n for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 0*d = 4*d + 1, s - 3 = -3*d for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 5) in base 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -714*z + 744*z + 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.56 - 0.44. What is the third smallest value in q, 1\/3, -0.05?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42706\/10 - 3\/(-30)*4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - 9 - (9 - (-13 + (21 - 15)))\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 8*a - 87 = -2*i, -3*i = a - 138. Calculate the remainder when 87 is divided by i.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -4 - (-5 + -6 + 9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -70 in 10.6, 2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + 10*u + 5. Let c be r(-10). Suppose 5*b = c*t - 790, 0*t + 469 = 3*t + 2*b. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1226 + 1228. Solve -13 + 5 = -r*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 5:00 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/23)\/((n*(n**(-8)\/n)\/n)\/n))\/(n**0\/n**2) assuming n is positive.\nAnswer: n**(278\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 303909.\nAnswer: 3, 17, 59, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**2 + 0*p**2 - 2*p**2)*(3*p - p - 4*p).\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 290507*q**3 - 271359.\nAnswer: 871521*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 423*o**2 - 294 + 605 - 306 in the form y + l*o + i*o**2 and give i.\nAnswer: 423","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1542025\/37458 + -2\/18729. Let h = 122\/3 - p. Which is the nearest to -3\/5? (a) h (b) 0.3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4481*p + 4456*p + 800 = 0 for p.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 84294298?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o - 10. Suppose 3*n - 6 = n. Suppose j = -4 - n. Is w(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 2, -5\/2, -34, 1.49, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2940*t**3 - 1257200*t**2 + 480005*t + 239935. Let k(n) = 105*n**3 + 44900*n**2 - 17143*n - 8569. Let o(b) = -3*a(b) - 85*k(b). Solve o(l) = 0.\nAnswer: -428, -2\/7, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 15 - 0. Sort -0.6, u, -0.5 in ascending order.\nAnswer: u, -0.6, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 0*v = -2. Let a be (12 - (v + -1)) + -2. Solve 2*g - a = -2*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 317052367 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 46 = -31. Solve 103*g - 104*g = -t for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 9*z - 112 = 4*z, -116 = -r - 3*z. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129 is divided by 75.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 37 = h, -h - 2*h - 3*a + 81 = 0. Which is bigger: h or -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -4.645 (c) -4 (d) 8\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in -5, 2\/3, 1, -875?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -110804076.207214349 + -1246806.892785721. Let k = h + 112050884. Let p = k - 0.9. Round p to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) -1 (b) -0.023 (c) 74\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (204\/408)\/((-9)\/(-12)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 4*w**2 + 10*w - 6 = 0.\nAnswer: -3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(792) - 1*sqrt(792))\/(sqrt(50)*-4)*5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 944095034?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + v + 1. Let z(o) = -7*o**2 + 8*o + 2. Let h(d) = 6*n(d) - z(d). Let s be h(3). Suppose s - 3 = t. Sort -4, -2, t in increasing order.\nAnswer: -4, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1653?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -112, -9, 3, 235, -3, -6, 2 in descending order.\nAnswer: 235, 3, 2, -3, -6, -9, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*o - 351 = 18*o. Calculate the remainder when o is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wddudnunuudw. Give prob of sequence uwud.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/11)*u)\/(u**(1\/2)\/u))\/(u**0)**(1\/42) assuming u is positive.\nAnswer: u**(37\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -158*n + 8 - 96*n - 13 + 4 in the form v*n + o and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 32056499 a multiple of 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 3*l + 3)*(-1491 - 372 - 45) as y + t*l and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -963 - -1356. Calculate the greatest common factor of w and 917.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1759)\/(-4)*248\/186. Does i = 585?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3444 and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of 0*r**4 + 0*r + 0*r**2 - 2*r**5 - 10\/3*r**3 + 12. Find the third derivative of k(y) wrt y.\nAnswer: -240*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -1 (b) 0.1 (c) -90\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -781.1 + 734. Let m = 24.1 + o. Which is the second biggest value? (a) -2\/9 (b) m (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 71253 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -22 - 6. Is (1 - 0) + (-3024)\/c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j**3\/5 + 2639474*j**2 - 21995596*j\/5 - 1759648 = 0. What is j?\nAnswer: -1\/3, 2, 2199560","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do 32 and 46 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3354\/7 + -478. Determine v so that -2\/7*v**2 - u - 8\/7*v = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1)**(-26)*o**(5\/2)\/o**(-1\/12) assuming o is positive.\nAnswer: o**(-281\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*h + 10*h - 43 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 250000 = -0*b + 5*b, 4*n = 0. What is b rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 3*x - 88. Let d be 2\/8 + (-55)\/x. Factor -d*l + l**3 + 3\/2*l**4 - l**2 + 1\/2*l**5 - 1\/2.\nAnswer: (l - 1)*(l + 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 2*s**2 + s + 12. Let i be n(0). Suppose -3*l - i = k - 5*k, -l - 4 = -5*k. Solve 3 = 3*b - k*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -1284*m**2. Let f(x) = -43*x**2. What is o(f(n))?\nAnswer: -2374116*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252))**2 - sqrt(7))*4*2.\nAnswer: -8*sqrt(7) + 2016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -21 - 84. Let g = o + -28. Is g even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.02 - -3.22. Suppose 2 = -2*d - 2. Let k = 1.049 - 0.049. What is the second biggest value in d, p, k?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27866\/7 - -3980. Which is the closest to 2\/5? (a) m (b) -0.08 (c) 0 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, 18\/7, -1\/6 in descending order.\nAnswer: 46, 18\/7, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 0.38, 1, -2\/5, -39\/17?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 309\/(-9)*12\/(-16). Let s = l - 97\/4. Which is the biggest value? (a) s (b) 16 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 0.01, -0.3, -1, 3 in decreasing order.\nAnswer: 3, 0.01, -0.3, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 11*n**2 + 7*n + 26. Determine p(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -2. Let w be 0 - (0 + 1)\/i. Differentiate 0*u + u**2 + w + 0*u with respect to u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8*21\/(-56))\/(588\/119 + -5).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7429 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 7:18 AM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 9087?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2*d**5\/5 + 8*d**3\/5 = 0?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -148\/3 + 48. Put m, -3, 4, -0.3 in descending order.\nAnswer: 4, -0.3, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/60 and 103\/50.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of -q**4\/2 + 32*q**3\/3 - 29*q**2\/2 - 13*q - 14. Let w be i(15). Factor 2\/7*n**w + 4\/7*n + 2\/7.\nAnswer: 2*(n + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152002 is divided by 370?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.07 - -29.07. Let m = -28.8 + j. Let c = -3\/40 - -29\/120. Sort 0.4, m, c in decreasing order.\nAnswer: 0.4, m, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 716436.0049 + -716330. Let q = 106 - i. What is q rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 700 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32066\/231 - -1528\/11. Let d(b) be the third derivative of 0 + 4*b**2 - s*b**3 + 0*b + 1\/210*b**5 + 1\/84*b**4. What is h in d(h) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e - -23d?\nAnswer: 22f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -52950*f**3 - 73*f**2 - 279*f wrt f.\nAnswer: -317700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1124545 (base 8) in base 2?\nAnswer: 1001010100101100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -134, -410, -824, -1376?\nAnswer: -2066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of 2*s**3 - s - 4. Let z be v(1). Suppose 300 = -2*l + z*l. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 19644\/15 + (-12)\/20. Suppose -3*h + 341 = -t. Round h to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 556.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**4 + 2*o**4 - o**5 - 2*o**4 + (-3 + 3*o**2 + 3)*(7*o**3 - 6*o**3 - 18*o**3).\nAnswer: -52*o**5 + 2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-49)\/(-2) - 2)\/(62 + 2024\/(-32))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -105*f + 13*f + 1202861 + 19598247. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/16 + (-1116)\/(-720)\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 580 - 582. Sort -376, l, 5.\nAnswer: -376, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzzz when four letters picked without replacement from zzdzzzdzzdzddz.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 13 = -5*b, 4*d - 8*d + 2*b + 34 = 0. What is the common denominator of 1 - -4 - d\/10 and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/6768 and 25\/345168?\nAnswer: 345168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -19\/632 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1222?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 46901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sgbxbhgshxhuhgub. What is prob of picking 2 u and 2 g?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 5:40 PM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-27)\/(-12) + -3)\/3. Let l be 2\/(-8) + 75\/108. What is the nearest to r in l, -2\/9, 1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seventy-four thirds of a hour?\nAnswer: 88800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 238 is divided by 4*(-4)\/(-48)*183 + -1?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007722 rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32*m - 1 - 9 - 24*m + 21*m - 45*m**2 - 25*m**3 - 5*m**4.\nAnswer: -5*(m + 1)**3*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2183 = -82*h - 1075 + 1126 for h.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32713154 (base 8) to base 12.\nAnswer: 2440438","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 23*u - 286. Calculate the remainder when 324 is divided by t(16).\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 5 + 5*l**2 - 2 + (4 + 3 + 2)*(-2*l**2 + 2*l**2 + l**2).\nAnswer: 14*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 10:12 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 2*g - 8 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 263*g**3 - 5*g + 4335 wrt g?\nAnswer: 789*g**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vevv when four letters picked without replacement from {v: 5, z: 3, e: 1, k: 2, l: 1, u: 1}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -81 divided by 267?\nAnswer: -27\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/10 + (-13)\/(-390)*18?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 403644271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -3*t + 3. Suppose -2*l - 3 = 2*f + t*f, 3*l = f + 4. List the prime factors of (f + 2)*2*1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o = 15*o + 6. Let w be (o + -6)\/(1 + -3). Solve -3*q + 2*z = 0, w*q - 1 = 2*z + 1 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1834142 a multiple of 1118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -13*k**8\/1680 - 5*k**4\/4 - k**3\/3 - 1. Let d(s) be the third derivative of r(s). Find the first derivative of d(c) wrt c.\nAnswer: -52*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1890 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31)\/(124\/15)*1\/((-198)\/48)?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**2 + 17164*r + 17162 = 0 for r.\nAnswer: -8581, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*t + 0*t - 3*t)*(-t + 30 - 30) + 2*t**2 - 2 + 2)*(-62*t - 54*t + 129*t).\nAnswer: 39*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -6*u + 10. Let k be h(-9). Suppose -2*g - 66 = -4*w - w, 4*w - k = -4*g. Let z be (-25)\/9 - w\/63. Sort -1, z, -5 in decreasing order.\nAnswer: -1, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -s + 576, 9*s - 5*s + c - 2269 = 0. Calculate the remainder when s is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -51, -92, -147, -216, -299?\nAnswer: -396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304135 is divided by 696.\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7705, 29, 113, 1 in decreasing order.\nAnswer: 7705, 113, 29, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -0.01 (c) 3 (d) 56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2 - 373538*n + 6350724.\nAnswer: -2*(n - 17)*(n + 186786)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -2*v + 714 + 193, 1358 = 3*v - 5*m. Let y = v - 293. Let c be y\/36*6*1. What is the highest common factor of c and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20208682 and 1853459?\nAnswer: 626469142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 6\/1382143?\nAnswer: 6\/1382143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -86 + w + 9*w**2 - w**3 - 34 + 119 in the form b*w**2 + r*w**3 + c*w + l and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -201931*l + 201931*l + 2 + 274*l**2 + 113*l**2 - 120*l**2 to r + m*l + v*l**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 89006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5*c + 53 = 0, 0 = -2*c + 18 - 26. Solve -2*n + k = -13*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13348\/23 at most -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, 2, -396, -4, -333 in decreasing order.\nAnswer: 41, 2, -4, -333, -396","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 27*h - 307923 = -785261. Does 10 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -7 + 26 + 25 + -13\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*y + 138*y + 35*y - 6*y.\nAnswer: 209*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(3\/13)*w)\/(((w*w*(w**(2\/11)\/w)\/w*w)\/w*w)\/w)*(w*w*w**5*w)\/w*w**15 assuming w is positive.\nAnswer: w**(3296\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -0*w + 4*w - w - c, -5*w + 4*c + 1782 - 886 = 940 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -81 - -49. Let b = l + 31.8. Let x = -161 - -1451\/9. Which is smaller: x or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 AM and 4:09 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3067*v - 3190*v - 31 = 4274 for v.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1319 or 1318?\nAnswer: 1318","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 13*x**3 - 7*x**2 + 2. Let k(z) = 14*z**3 - 6*z**2 + 2. Calculate 2*c(m) - 3*k(m).\nAnswer: -16*m**3 + 4*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -38, 1, -5, -48, -188, 4 in descending order.\nAnswer: 4, 1, -5, -7, -38, -48, -188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 7*p**2 + 8*p - 4. Let h be n(-8). Let k be -4 - (24392 + (0 - h)). Round k to the nearest one thousand.\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 544555 and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 267 - 1597\/6. Suppose 2*q - 2 = 2*d + 6, 0 = -2*d - q + 1. What is the common denominator of k and 38\/36 - (d + 0)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4926405873?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v + 6. Let m(k) = -k - 1. Let f(j) = i(j) + 3*m(j). Let l be f(-5). Suppose t + t + 6 = -5*o, 3*o = -5*t + l. Is t a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4654)\/179*(-90)\/(-7800)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 0*i - 2*i = 18, 4*u - 3*i = 21. Which is the closest to -0.1? (a) -1 (b) 2\/7 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 21828477?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 272362141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -12869, -51483, -115839, -205937, -321777, -463359, -630683?\n\"Answer: -12871*i**2 - i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - 60. Let s be p(0). Let c = -4935 + 4999. Let z = c + s. Solve 3*y - 2*v = 2*v - z, 2*y + 18 = -5*v for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3344, -6479, -9182, -11237, -12428, -12539, -11354?\n\"Answer: 36*b**3 - 3387*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 49 = 2*m, 2*m - 2*o - 31 = 9. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 578 divide 414426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 - 4*f - 5. Let k be b(-2). Let t be -5 + 4 + k + 2. Solve -2*i + 6 = -t*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 503.\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 24\/5*n**2 - 8\/5*n - 26\/5*n**3 + 12\/5*n**4 - 2\/5*n**5 + 0 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z + 3. Suppose -d - 2*d = 0. Let p(b) = -b + d + 4*b + 5. Let g(u) = 3*p(u) - 5*x(u). What is g(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -10*h - 3. Let c(r) = -5*r - 2. Let k(u) = -5*c(u) + 3*w(u). Let m be k(1). Let n(g) = -g**2 - 5*g - 6. Determine n(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -65.423 + 3.513. Let j = 0.91 + c. Let w = j + 61.82. Round w to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + -16. Sort -0.5, 0.1, p.\nAnswer: p, -0.5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -363, -4, -18, -1, -12.\nAnswer: -363, -18, -12, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 868705997 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**3 - 368960*v**2 - 1475945*v + 1844900.\nAnswer: 5*(v - 73796)*(v - 1)*(v + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((5*-1*sqrt(11))**2 - sqrt(11)))*1.\nAnswer: -sqrt(11) + 270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -86 + 98. Suppose -k*j - 263 = -2633. List the prime factors of j.\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2949.822 and -25393606.\nAnswer: -25396555.822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 11*v**3 + v**2 - 4*v - 7. Let a(l) = -23*l**3 - l**2 + 8*l + 14. Calculate -3*a(m) - 5*j(m).\nAnswer: 14*m**3 - 2*m**2 - 4*m - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 6*z - 75 = i, 5*i = -3*z - 392. Let u = i - -188. Let g = u + -49. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/4 (b) 3 (c) 2.5352 (d) -110\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-328)\/(-16) - 20)\/((1\/(-4))\/(-1)). Solve -b + 1 = j*i + 4, i + 3*b - 6 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1681434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.7845902299 - 7.\nAnswer: -4.2154097701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 20 = -5*w, -4*w = -5*d + 2*d - 23. Let a(u) = -10*u + 3 + 46*u - w. Is a(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/1860?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 0)*(c + c - c + (0*c - c + 0*c)*(6 - 3 - 1) - 2*c + 2*c - 2*c).\nAnswer: 15*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 1:39 PM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b - 47000*b**3 + 0 - 1 - 2*b. Let j(u) = 2*u + 11. Let d be j(-6). Let o be q(d). What is o rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4279 is divided by 532?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 7 = 4*j, 5*v + 5 = 13*j - 18*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(11\/2)*n*n**(-29)*n)\/((n*n\/((n\/n**(16\/7))\/n))\/(n**(-36)\/n)) assuming n is positive.\nAnswer: n**(-865\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/10 - 32\/(-30). Let r = 10.5 + -8. Let c = -2 + r. Which is smaller: c or s?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 47 + (18\/2)\/3. Suppose 3*v - 8*v = -p. What is the greatest common factor of 80 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5724 and -0.89?\nAnswer: -5094.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9484 divided by 6?\nAnswer: 4742\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1131 and 468.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + 20 + (0 + -1 - 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 h when two letters picked without replacement from {v: 3, k: 1, i: 4, h: 1, p: 1, c: 4}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (5\/66)\/((-13)\/351*6) and 7\/2*10\/(-44).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1860 and 19676100.\nAnswer: 609959100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 4329?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -13*o. Let v(z) = -z + 6. Let j be v(6). Suppose -5*s + 4*w = 17, j = 3*s - 7*s + 4*w - 16. What is the remainder when 24 is divided by r(s)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 950638.\nAnswer: 2, 13, 36563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -4*j + 45, -4*j + 5*s - 3*s = -30. Let r be 3\/(j\/(-2))*-18. Let h = -7 + r. What is the lowest common multiple of h and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4453 + -1786. List the prime factors of w.\nAnswer: 3, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*d**2 - 55*d**2 - d - 55*d**2 - d + 8*d**2.\nAnswer: -125*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 84*a**3 + a**2 - 1. Let c be n(1). What is the highest common divisor of 12 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -722\/993?\nAnswer: -722\/993","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0\/1 - 1)\/1. Let u = 3 - b. Let f(o) = -9*o + 6*o - 3 + 7*o**2 + 1 - u*o. Let z(l) = l**2 - l. What is f(j) - 6*z(j)?\nAnswer: j**2 - j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21 - 1343322?\nAnswer: -1343301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 31481941 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -940680034835.999998 - -940678411283. Let u = o - -1623557. Let f = u - 4. What is f rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -365445 (base 8) to base 5\nAnswer: -13010413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11.7 + 18\nAnswer: 6.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6617593\/11 or 601598?\nAnswer: 6617593\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 140767 and 5159.\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.09 + 0.04. Let n = m + -0.05. Let l be -5 + 8\/((-72)\/(-45)). Which is the closest to n? (a) 0.4 (b) l (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + (sqrt(117)*-2 - sqrt(117)))\/sqrt(9) + sqrt(1573)*-1.\nAnswer: -13*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38*h**2*q**4 - 1849*h**2*q + 62*h*q - 58184*q**2 - 2*q wrt q?\nAnswer: 456*h**2*q**2 - 116368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 86 + -62. What is the remainder when 92 is divided by j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*g = 133*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (90\/(-7))\/(3\/(-14)). Let k = 223 - d. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -1.8. Let g = -98.9 - -99. Sort -6, g, s in increasing order.\nAnswer: -6, s, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d - 90846 - 2*d**3 - 2*d + 90499 to v*d + f*d**2 + b*d**3 + m and give m.\nAnswer: -347","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 11 = 2*z, 3*z + 6*p = 3*p + 9. Suppose 2*s - 4*a - 20 = 0, -2*s - z*a - 10 = s. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 560 divided by -280.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 88985*o**3 - 88983*o**3 + 189 + 382 - 3*o**3 + 3*o**3 + 2*o**3 + (0*o**2 + 0*o**2 - 2*o**3)*(5 - 5 + 3) - o**3 + 0 + 0.\nAnswer: -3*o**3 + 571","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2261 times 0.5?\nAnswer: -1130.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -48 (b) -4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 740?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*o + 5*a - 7, -2*o + 3*a = -19. What is the remainder when (6\/(-15))\/(o\/(-1040)) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 0. Suppose 8 = -a*y + 24. What is the smallest common multiple of 7 and y?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*p + 153187 + 31493. Is p a multiple of 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32181 and 357?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4150 and 2854450?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/3, -204, -1\/33, 2\/21, -5, 1?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - -8 - (-77615)\/(-2795)?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -2. Let d be q - (-3)\/(6\/4). Let m be 0*(-2)\/d*1. Solve 4*u = -y + 13, m = 5*u - 6 - 4 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 500520 is divided by 580?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j - 3. Suppose 5*v + 52 = -28*g + 24*g, -3*g - 50 = v. Let h(d) = -4*d - 13. Calculate g*i(l) + 4*h(l).\nAnswer: 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -4*p**2 + 100*p + 5. Let v be m(25). Solve 4*f + f = v for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/40536 and 89\/18318.\nAnswer: 123756408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z*z\/(z*(z*z*(z**(2\/11)*z)\/z)\/z*z)*z*z*z)\/z**(-4\/5))\/(z**(15\/7)*z*z\/z**(-5)))**(-27) assuming z is positive.\nAnswer: z**(57429\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 457145179 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 57375*s + 172450. Give w(-3).\nAnswer: 325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3*a - 3 = -12, 3*a = 3*f - 6. Let z = f - -11. Is 2 a factor of z - (3 + -2 + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p - 20 = 9*p. Suppose 18 = p*f - l, -2*f = -7*f + 5*l + 15. Solve 6*y = 5*y + f for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 301 - -126. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 4 - (4 + -66)) + (-48 - -43) + 8.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 114 - -53314414?\nAnswer: 53314532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-9)*(-567)\/42. Let a(m) = -3*m + 8. Calculate a(y).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of 8\/105*y**5 - 2\/21*y**4 + 0*y - 12*y**2 + 0 - 1\/42*y**6 + 2\/735*y**7 + 0*y**3. Factor q(c).\nAnswer: 4*c*(c - 2)**2*(c - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -212202110100 (base 3) to base 2\nAnswer: -1110010001010100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25 - (8 + 29)) + (6 - -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 6) to base 14\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + 11*y + 17. Let f be u(12). Suppose 11 = 2*x - f*b, x - 3*b = 2 + 4. Solve 0 = 4*c + x*l + 18, 0*c + 4*c + 10 = l for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 204*o - 382*o + 211*o.\nAnswer: 33*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 0.3, 0.2, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of -y**4\/24 + y**2. Let p = 13 - 12. Let r be c(p). Put 2, -2, r in decreasing order.\nAnswer: 2, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -8. Suppose -f = 2*f - 6. What is the smallest common multiple of f and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/9 - -1)\/(-1) + (-2880)\/(-540). Solve -d*r = 2*f + 3, -4 = r - 2*r - 5*f for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -53*r**2 - 1065*r + 30. What is m(-20)?\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + (27\/(-18))\/(2\/(-4)). Suppose 0 = -y*k + 5*k - 5*v - 60, -2*v - 56 = -4*k. Calculate the remainder when ((-1)\/2)\/(9\/(-846)) is divided by k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/6 - 100\/(-120) - 3770\/1044.\nAnswer: -28\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 168156 and 2664?\nAnswer: 12443544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + 2)*(-3 - -2). Suppose j = -i*j - 32. Let o = j - -42. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, l: 11}. What is prob of sequence qq?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.079 or 81638?\nAnswer: -0.079","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + k**2 + 10*k + 28. What is the hundreds digit of c(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, 76709692 in descending order.\nAnswer: 76709692, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2179.36nm in micrometers?\nAnswer: 2.17936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 12 = -0*b + j, -b - 14 = -3*j. Let v = 15 + b. Suppose 5*c = 4*z + v, -2*c + 5 = -c - 5*z. Solve c*l = l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -97129832 divided by -97129832?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 1, -1, 11, 30?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 35*x**2 - 18*x + 30. Let m be g(2). Let b(u) = 6*u + 74 - m + 66. Calculate b(-6).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/5874 and -103\/513975.\nAnswer: 1027950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5.1, -1463, -0.3 in decreasing order.\nAnswer: 5.1, -0.3, -1463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 2 - 9*i**3 + 5 + 2 + 3*i + 3 to the form h*i**3 + k*i + w*i**2 + x and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7428, 14818, 22136, 29346, 36412?\n\"Answer: -6*s**3 + 7432*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12123271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - 2*r - 5. Let o be n(7). Let m = 79 - o. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1068 + 0*p**3 - 4*p**3 - 2*p**3 + p**3.\nAnswer: -5*p**3 + 1068","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 2*b + 3*k - 20, 2*k - 10 = -5*b. Suppose -2*z = -b - 22. Let u = z + -7. Solve l + 20 = -3*l + 4*q, 0 = -u*l - 3*q - 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(4 + sqrt(931) + -1))**2.\nAnswer: 1512*sqrt(19) + 33840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/13 (b) -1 (c) -55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 5*a**2 + 43*a - 1. Let v(n) = 6*n**2 + 54*n - 2. Let j(q) = -5*p(q) + 4*v(q). Let t = 8 + -11. Let y(k) = 3. What is t*y(z) - 2*j(z)?\nAnswer: 2*z**2 - 2*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.423301 months in centuries?\nAnswer: 0.0095194175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*f - 23850960 = -5*f. Let g = f + -1726790. What is g rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 899\/3548 + -3\/887. Let k(w) be the second derivative of 0*w**3 - 5\/12*w**4 + 0*w**2 + 0 + i*w**5 - 12*w. Factor k(r).\nAnswer: 5*r**2*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10419673*j**2 + 123899*j + 3 wrt j?\nAnswer: 20839346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 13) to base 2\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00764 to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1369983543 to the nearest integer?\nAnswer: 1111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**3\/4 + z**2 - 5*z\/4 + 1\/2 = 0. Calculate z.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.37 + -0.37. What is the closest to 0.04 in z, 3, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 5*t - 1. Let n be r(-6). Find the first derivative of -4*j**4 + n + 2*j**4 - 2*j**4 wrt j.\nAnswer: -16*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 7*z + 7*o + 145 = 36*o + 22*o, -6 = -2*o for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4335 is divided by 1082.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37 - -26. Let x be 33\/5 - 2\/(-5). Let t = x - b. What is the remainder when 51 is divided by t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s. Let g be x(1). Let o be (-5)\/(1\/g - -2). Let k = o - -10. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19460 + -19404. Solve 51*u - m = i*u - 2, 8 = 2*u - 2*m for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2. Let z(q) = 154*q. Let a(g) = g. Let b(i) = -462*a(i) + z(i). Determine b(y(x)).\nAnswer: 308*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 7*y - 9*y - 8, 0 = -5*p + 3*y + 12. Solve 0 = -5*k + 2*t - 6, -k = -p*t - 3*t - 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3*h - 120 = 0. Let i = h - -21. Is i bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 4 + 60\/(-33)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/2449 + 100389\/24490. Calculate the common denominator of o and 43\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 5*y. Let h be v(-7). Let f = -19 - h. Suppose -5*w + 4*b = -40, 4*w - w - 17 = b. Solve 5*o = -w - f for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8410 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 1 + (1 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -15*u**3 - 4*u + 10. Let k(y) = -14*y**3 - 3*y + 9. Let l(c) = 4*k(c) - 3*m(c). Differentiate l(b) wrt b.\nAnswer: -33*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 5*x - 7. Let a(q) = -28*q + 44. Determine 6*a(s) + 39*n(s).\nAnswer: 27*s - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 109.98 + -113. Let o = h + 3.4. What is o rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 34, 2, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 52 + 55 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -3. Suppose -5*k + 6 = -3*p, d = 4*p - 3*k + 2*k + 8. Sort 0.3, -2\/7, p.\nAnswer: p, -2\/7, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + 9*s**2 - 9*s + 3. Let o be a(8). Let z = -1 + 2. List the prime factors of z\/o + 540\/75.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + k + 4 = 6, o + 4*k = 2. What is the second smallest value in -115, -1\/3, o?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 + 30*f + 172. Let z be j(-22). What is the nearest to -1.3 in -1, -0.1, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -3*u**2. Let w(j) be the third derivative of j**5\/30 + 7*j**2. Give w(a(p)).\nAnswer: 18*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sycy. What is prob of picking 1 y and 1 s?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -6418 rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*v + 16*v + 485 = 0. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - a - 3 + 3*a - a + 0*a + (0 - 1 + 3)*(2*a + a - a) + 3*a - 6*a + 2*a - 2*a + a + 0*a)*(2*a**2 - a**2 - 3*a**2).\nAnswer: -6*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 383 - 381. Solve -s - s = -5*m + 10, 4*m = q*s + 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, e: 1, x: 1, u: 1, h: 1}. Give prob of picking 1 x and 1 h.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from htxdtxdzdthpdtx. What is prob of sequence ddxx?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41 + 48. Calculate the remainder when 11\/(55\/100) - -4 is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23 and 1341231499.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*k + 19. Let n be (2 - 2 - k) + -1. Let j = 1512 - 1507. Solve -4*x - j = 4*t + 11, 4*x - n = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - -3. Which is the closest to 1\/5? (a) 0.2 (b) -4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 0*j - 3*j - j + 0 + 0 + (-4*j + 0*j + 2*j)*(-2 - 3 + 3) + 2*j + 1 - 1)*(-2 + 2 - 2*j**3) - 18*j**4 + 334*j**4 + 160*j**4.\nAnswer: 470*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j\/j**(7\/2)*j*j**(-6) assuming j is positive.\nAnswer: j**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 933717?\nAnswer: 3, 19, 16381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 3:20 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 0, -2*b + 77 = 5*j + 17. Factor -21*w**5 + 13 - b + 17 + 39*w**2 - 6*w - 81*w**3 + 69*w**4.\nAnswer: -3*w*(w - 1)**3*(7*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 6:26 PM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70)\/2*54*(-44)\/(-7128).\nAnswer: -35\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y**2 - 10*y - 5*y**4 + 4*y**3 - 23*y + y**4 + 34*y - 1 - 7*y**3 to the form j*y**4 + t*y + k*y**2 + o + i*y**3 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**0)**(-50)\/(x**1\/(x**(-10)\/x)))**(-12) assuming x is positive.\nAnswer: x**144","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -3*(sqrt(7) + sqrt(7)*2*-6))**2.\nAnswer: -198*sqrt(7) + 7632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -213946 - 3?\nAnswer: -213949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 15) in base 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -376 - -383.3. Let y = -17 - -6. Let r = u + y. What is r rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -102?\nAnswer: -db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of g**7\/3780 - g**5\/540 + g**3\/2 - 3*g**2. Let o(y) be the first derivative of z(y). Factor o(i).\nAnswer: 2*i*(i - 1)*(i + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 9 + -2 + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 - 1 - (-54 - (5 - 6)). Put 5, s, -3 in increasing order.\nAnswer: -3, 5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 372 + 792 = 97*p for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from lqlqqqqqfqf.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a decade in months?\nAnswer: 1248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1684043 (base 13) to base 5\nAnswer: 3331320043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0189 + 0.4189. Which is the nearest to 1? (a) -8 (b) -2.4 (c) v (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c - 31. Let f be n(-17). Suppose 2*b = f*j - 3643, -j - 3*j + b = -4854. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a kilogram in grams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 135164 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 41, 1\/7, -0.07?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1821 + -1821.3. Which is the second biggest value? (a) l (b) -10 (c) -0.4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 17247.6 and -415.\nAnswer: -7157754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2177.0000083 - -2177. What is f rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 10*n**3 - 31*n**2 - 30*n - 1. Calculate z(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 57 + -55. Suppose w + 17 = -5*b, -10 = -w + 2*b + p*b. Let y be 1 + (w - -5) + -1. Solve -20 = -7*z + y*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + 4*y - 2. Let k be i(1). Sort 5, k, 23.\nAnswer: k, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/26)\/((-12)\/(-26)))\/(45\/60)*15?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18933430?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30*l**2*u**2*v + 11*l**2*u*v + 2*l**2*u + 5*l**2*v + 17*l*u**2 - 6*l*u - u**2 + 6*u*v wrt u?\nAnswer: 60*l**2*v + 34*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 492793 is divided by 5133.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of 3*d**2 + 1\/12*d**5 - 1\/120*d**6 + 0*d + 1\/3*d**3 + 0 + 1\/24*d**4. List the prime factors of a(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -935 <= -0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, l: 1, b: 7, u: 3}. What is prob of picking 2 u?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 71154.71 tonnes?\nAnswer: 71154710000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15731039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3437.7 - 3438. Which is the second biggest value? (a) z (b) -0.5 (c) 3\/2 (d) -8 (e) 73\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 5*c - 12. Let p be 3\/(3*1\/8). Does 14 divide b(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 5*c + 16. Suppose 8 = -c*g + 4*g. What is the third derivative of -22*y**2 - 9*y**4 + 7*y**2 - 22*y**6 + 9*y**g wrt y?\nAnswer: -2640*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -12*w + 48. Give x(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -12375601847 and -0.2.\nAnswer: -12375601847.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pvvv when four letters picked without replacement from {v: 4, p: 6}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, 0.2, -0.088 in ascending order.\nAnswer: -0.088, 2\/13, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (22\/132 + (-2)\/(-24))\/(2\/40). Solve -5*r - 3*u + 77 = 92, r = -w*u - 25 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*j = 3*w - w + 3*w + 9*j + 6, 24 = -5*j + 8*j for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -741030*o*z**3 + 2*o*z**2 + 2*z**3 + 2442969*z**2 wrt z?\nAnswer: -4446180*o + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 27\/(-6)*6820\/30. Let r = -518 + p. What is r rounded to the nearest 100?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q + 0*q - 13585 = 0. Does 45 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37594 + 37593.6. Which is the closest to 2\/7? (a) 3 (b) 2 (c) 0.2 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22988 + -11094. List the prime factors of s.\nAnswer: 2, 19, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 + 3.3. Let u = -14 + 20. Let x = u + -8. Which is the nearest to -2? (a) x (b) f (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 372?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11353864937 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -12*l - 9. Let o = -17 + 8. Let m(v) = -3*v - 2. Calculate o*m(a) + 2*q(a).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1412220 - -111?\nAnswer: -1412104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/2 - 15\/6. Let z = k - -4. Suppose -5*v = -z*v - 960. What is v rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1763\/5, 64, -4, -4\/5, 5 in descending order.\nAnswer: 1763\/5, 64, 5, -4\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 + (-114)\/(-6) - 5. Suppose o*l + 7279 + 2162 = 0. What is l rounded to the nearest ten?\nAnswer: -1050","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + 7*r - 37. Let w be k(4). Is -2 less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 24 and 48336.\nAnswer: 1160064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.538783 milliseconds to nanoseconds.\nAnswer: 6538783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1796195 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1142524143 rounded to the nearest 10000?\nAnswer: 1142520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29 - 31) + -2 + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 12*g**2 - 10*g. Let i(y) = 2*y**3 - y**2 - 2*y. Let x be i(2). Let w be n(x). What is the greatest common divisor of 11 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 + 1)\/((-8)\/16). Let z = c - -17. Let x be (3\/(-1))\/((-3)\/14). What is the greatest common factor of z and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = 2*h + 6, -3*c + 12*h - 7760 = -7826 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 3. Does 8 divide 20 - -9 - 8\/t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -175, -347, -521, -697?\n\"Answer: -n**2 - 169*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/4)\/(3*(-1)\/3)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.075 + 244.784003992\nAnswer: 244.859003992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 1:48 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4196.000007972 + 4196. What is y rounded to seven dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*z = -20*z - 20*z + 9*z. Let i = -30 + 61\/2. Solve i*v**5 + 0 + 1\/2*v + z*v**4 + 0*v**2 - v**3 = 0 for v.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-5)*((-37 + 4)\/(-11) + -4). What is the third smallest value in -903, -1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1055 + -9494\/9. Which is the second biggest value? (a) o (b) 2\/45 (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - -28)\/1*1. Suppose 4*a = -2*z - 6, 5*z = 5*a - p - 3. Let w(x) = 4*x**2 + 6*x + 7. Is w(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**3 - 4 - 8*g**2 + 23*g**3 + 0*g**3 + g + 4 to the form r + s*g + a*g**2 + o*g**3 and give o.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 62 - 50. Suppose -2*s = 2 - n. Suppose s*r = -3*r + 528. Is r a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (721\/(-4))\/((-1)\/4). Let s(f) = f**2 + 41*f - 699. Let d be s(14). Suppose -u - d = -9*t. What are the prime factors of t?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4157*h - 4106*h = 51. What is the closest to h in -9, -13, 12?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45379398 to the power of 1\/2, to the nearest integer?\nAnswer: 6736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43 - (-47424)\/(-5248) - 34.\nAnswer: -3\/82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 66 = 16. Let g(z) = -10*z + 29*z - 11*z - v*z. Let i(a) = -19*a**2. Determine i(g(r)).\nAnswer: -76*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 12:21 PM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.01 - -0.05. What is the third smallest value in -2, -2\/3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*10\/(-350)*15\/(-12).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -2\/7 (b) 0.3 (c) 2.085 (d) 6\/5 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 18\/2407 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -544*h - 3015. What is z(-7)?\nAnswer: 793","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 292067 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 c, and 1 e when three letters picked without replacement from {l: 8, c: 3, p: 2, e: 2}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 13*m**2 + 6*m - 10. What is the thousands digit of r(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 52\/5, -74, 4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4557 - 40634?\nAnswer: -34055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2. Let j(n) = 1. Let h(c) = 107*c + 13. Let s(z) = -h(z) + j(z). Let d(t) = 52*t + 7. Let p(i) = 5*d(i) + 3*s(i). Give p(o(l)).\nAnswer: -61*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 452 divided by -9409.\nAnswer: -452\/9409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x - 6 = 4*y + 6*x, 2*x + 26 = -4*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4621?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 10684, 21387, 32090?\n\"Answer: 10703*d - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -292a189 + -1?\nAnswer: -292a18a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 y when two letters picked without replacement from ggejjjeeggygygggg?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of j**8\/84 - 2*j**4\/3 - 6*j**2 + 13*j. Let s(f) be the first derivative of g(f). Find the second derivative of s(a) wrt a.\nAnswer: 80*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 4*k = -8*k - 7 + 63, 116 - 4 = 11*a + 8*k for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3406487?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 392 and 4704?\nAnswer: 4704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 28 (c) -2\/7 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of -5*b**9\/56 - b**5\/20 + 4*b**3\/3 + 84*b**2. Find the third derivative of t(s) wrt s.\nAnswer: -5400*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 378 and 28770.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 29? (a) 0.3 (b) 14 (c) 0.2 (d) 12\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 43\/215 + (-6471)\/(-45). Solve 33*m + c = -87 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*i + 36*i - 84. Solve -8 - 15 = -3*l + 4*c, 0 = 4*l + 5*c + i for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d**2*q**2 + 5092*d*q**2 + 215*q**2 - q + 3 with respect to d.\nAnswer: 4*d*q**2 + 5092*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7430369*q - 14860738*q + 7430371*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t + 18. Let w be f(-10). Let o be w\/10 - (3 - 0). Factor -o + 14\/5*l**2 - 2*l.\nAnswer: 2*(l - 1)*(7*l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 10529.79ml?\nAnswer: 10.52979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 5*d - 27. Let x be h(7). Suppose x*c - 8 = 7*c + 2*p, -3*c - 2*p = -8. Let j = 0 + -1. What is the nearest to j in 0, c, 2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*f + 13*f = -4*u - 5, -u - 5 = -4*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1\/2, -0.09, 3\/13 in increasing order.\nAnswer: -1\/2, -0.09, 0, 3\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10*3\/48*68590\/9025)\/(6\/144).\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.271 - 0.161. Let c = 29.77 + -30. Let u = -2.23 - c. Which is smaller: u or i?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.4 + 0.4. Suppose 182*g = 200*g. Which is the nearest to g? (a) -1 (b) 0 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7098475 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 21*m - 148. Calculate o(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20148 - 16920. Is s a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n - 1. Let g be c(-5). Let a(r) = 2*r**2 + 4. Let b(u) be the third derivative of 0 + 0*u + u**2 - 1\/6*u**3. What is g*b(l) + a(l)?\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**2 - 7827*g - 1093079. What is p(-135)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aoainioianiin. What is prob of sequence ioo?\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*436\nAnswer: -130.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of y**6\/72 + 23*y**5\/24 - y**3\/6 + 3*y**2\/2 - 2*y + 12. Let d(l) be the second derivative of j(l). Factor d(t).\nAnswer: 5*t*(t + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/3 (b) 56 (c) -1\/2876\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1396, -2793, -4190, -5587, -6984, -8381?\nAnswer: -9778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7123227 a multiple of 853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 - 7*j + 2. Suppose -3*l - 7 = 8. Determine v(l).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3092539 is divided by 795?\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6839, -6838, -6837, -6836, -6835, -6834?\nAnswer: -6833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4164 and 64.\nAnswer: 66624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 49400719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 445 a factor of 85625837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 305 (base 7) to base 13\nAnswer: b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 103*d - 385. Let s be f(7). What is the greatest common divisor of 144 and s?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4882 - -87763\/18. Let x = -2082 + 12631\/6. Find the common denominator of x and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62196.82nm in kilometers?\nAnswer: 0.00000006219682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/15*(14\/4 + -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 182 - 179. Calculate the remainder when 11 is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -227228 - -4?\nAnswer: -227224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b + 5*r + 4, 0 = 59*r - 54*r for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -39 - -9. Let l = y - -30. Solve -3*o = -l*o + 12 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**7*((k*(k*(k\/(k\/k**(-2\/7)))\/k)\/k*k*k)\/k)\/k)**48 assuming k is positive.\nAnswer: k**(2256\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 807 (b) 4 (c) -28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + (sqrt(77) - sqrt(77)*-1) + sqrt(77))\/sqrt(7) - 6*(sqrt(11) + (1*sqrt(11) - sqrt(11))).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/6*(-3)\/2*0. Suppose l = 4*d + 53805591 - 21525591. What is d rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, a: 2, r: 1, m: 2, g: 1, p: 2}. Give prob of picking 2 a.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 14844 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 - 11. Let g(q) = -q**3 + 6*q**2 - 2*q + 1. Let w be g(j). Calculate the highest common factor of w and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2 = 4, 10 = 2*m - 2*x. Let y be m*-1 - (-2 + 2). Let t be (y\/(-6))\/((-3)\/(-45)). Solve -t*c - j = -5, 2*j + 2 + 3 = 5*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p - 9. Let w be o(3). Suppose -5 = -s + 2*a, -20 = -3*s - s - a. Let f = s + w. Let d(l) = l. Determine d(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27102126 by 8634.\nAnswer: -3139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 14. Let l be (-36)\/8 - (-3 - -6 - 7). Which is the second smallest value? (a) -2\/9 (b) m (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 t when three letters picked without replacement from {t: 4, x: 4, s: 2, f: 5}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 41.5\nAnswer: -12.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00051902402 rounded to six dps?\nAnswer: -0.000519","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1\/5, 2842, -8 in ascending order.\nAnswer: -8, -2, -1\/5, 2842","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -43 (c) -6\/11 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 11 = -13. Suppose -36 = -12*u - m. Suppose -5*y - 5 + 0 = 0. Let l(j) = j + 1. Let t(h) = 3. Determine u*l(f) + y*t(f).\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 23101543 - -3?\nAnswer: 23101546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 27 and -10289.\nAnswer: -277803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/12*-6*6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104\/(-10)*3590\/(-1436).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-10) + (-22)\/(-5). Suppose -w*z = -11 - 9. Let x(h) = h**3 + 2*h**2 + 4*h - 3. Let n(d) = d**3 - d**2 - 1. Let g(u) = 2*n(u) - x(u). Give g(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110111000110111011011 (base 2) in base 10?\nAnswer: 3902939","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*b**2 - b**2 + b**2)*(-345 + 23*b + 345) as y*b**3 + c + g*b**2 + z*b and give y.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 74764 = 4*w, 5 + 11 = -4*w. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a decade in months?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/4)\/(((-17510)\/(-204))\/(-103)).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2028652, 4057304, 6085956?\n\"Answer: 2028652*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 6*d + 4*c + 12 = 0, -443*d + 441*d = 4*c + 30 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**2 - f**2 - 7*f**2 + 2*f**2.\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -18287748 divided by -17517?\nAnswer: 1044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (7671\/(-6) - 3) + (-4)\/8. Let b = f - -2599. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 696021 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1465 - 1465. Are a and 3\/1198 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 315 = -l. Let k be (-44)\/(-8) + (-10)\/4. What are the prime factors of (-2)\/k + 1 - (-3066)\/l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -5 + (1 - 7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3*u**2 + 4*u + 1. What is i(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 - 10*q - 19. Let m be c(-6). Sort m, 1.7, -4 in decreasing order.\nAnswer: m, 1.7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of -t**7\/280 + t**6\/120 - t**3\/2 + 5*t. Let o(p) be the second derivative of v(p). Determine i, given that o(i) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g = -t - 4*g + 6, -3*g = -4*t - 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 468704 greater than 468704?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 1684?\nAnswer: 11788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2 + m - 3*m + 7 - m. Let q(o) be the third derivative of 1\/24*o**4 - 14*o**2 + 0*o + 0 - 1\/3*o**3. Give 2*p(j) + 5*q(j).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22264, 22279, 22308, 22357, 22432, 22539?\nAnswer: 22684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/5 of a meter?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 79, 141, 233, 355, 507?\n\"Answer: 15*g**2 + 17*g + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 7:07 AM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13634 and 31214642?\nAnswer: 802","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -5 + 10 - (0 - -5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 4304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-47 - -7)) + -67?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**3 - 3*k. Let d(x) = -6*x + 7*x**3 - 10*x + 3*x**3. Calculate 3*d(g) - 16*w(g).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 341 is divided by 118.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-six fifths of a century?\nAnswer: 11040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62689?\nAnswer: 11, 41, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -793*u + 15913. Give c(20).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, s: 1, q: 1}. Give prob of sequence ppps.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-43*u + 15*u + 47*u)*(-u + 3*u + u) + 0*u**2 + u**2 + u**2 + (0 + 0 + 3*u)*(u + u + 0*u) + 5*u**2 + 0*u**2 + u**2 as s*u + j + f*u**2 and give f.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11166, -21440, -31714, -41988, -52262?\nAnswer: -62536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**2 - 4640*r + 2691200 = 0.\nAnswer: 1160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5\/12 + -2\/3. Let y = 263\/9 - 29. Sort f, y, 5\/2 in decreasing order.\nAnswer: 5\/2, y, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 143 and 3640351.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38*j**2*u**3 + 9909*j**2*u + 5142*j*u**3 - 18*j wrt j.\nAnswer: 76*u**3 + 19818*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 4*z**2 + 52*z + 168. Let g be i(-6). What is the fourth smallest value in -2\/5, -15, g, -0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 2:38 AM?\nAnswer: 8:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -1242*n**2 - 161*n. Let g(z) = -23*z**2 - 3*z. What is -161*g(p) + 3*h(p)?\nAnswer: -23*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 8. Let s = 7 - b. Suppose -275 = -5*x + 4*p, 3*x = 4*p - s*p + 167. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 5:22 AM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n**2 + 0*n**2 + 0*n**2 + (5*n - 3*n - n)*(0*n + 8*n - 3*n) + 54*n**2 - 155*n**2 - 162*n**2 + 2*n**2.\nAnswer: -259*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p + 15*p + 30 = 10*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-1)*(2\/(-6))\/((-63)\/(-189)). Solve -5*r - f - 10 = 0, 7*r - f + 2 = i*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/160*4)\/((-21)\/105)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19 + 50 - 18 - 13 + 1402*f - 382*f)*(31*f**2 - 71*f**2 + 13*f**2) in the form n + p*f + x*f**2 + w*f**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 505.72, 5, -20, -0.2 in descending order.\nAnswer: 505.72, 5, -0.2, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 47*i**2 - 3516*i - 24602. Give z(-7).\nAnswer: 2313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g - 2. Let z be s(4). Let p = 3.1 - 3. Let t be ((-248)\/(-84) - 2) + 2\/(-7). What is the nearest to z in p, t, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0157851 to four decimal places.\nAnswer: -0.0158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 24128 + 4?\nAnswer: 24133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((9768\/962)\/(-33))\/4.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6878 is divided by 3410.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16321?\nAnswer: 19, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*y - 5*y**2 - 3*y + 3*y**2)*(3*y - 6*y - 2*y).\nAnswer: 10*y**3 - 95*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 divided by 12.\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 91\/5 + 0 + (-36)\/(-45). Suppose -18*k = -g*k + 19. What is the remainder when 166 is divided by k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*s**2 + 64415*s + 128850 = 0. Calculate s.\nAnswer: -2, 12885","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -7\/5 (b) -21\/16 (c) -16 (d) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 - -0.2. Let v = 20.01 + -20. Let o = 0.19 + v. Which is the third smallest value? (a) o (b) 0 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40775882*o**4 - 384484*o**2 - 2*o + 14 wrt o?\nAnswer: -978621168*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 149298?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 10:33 PM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that n**2 - 33*n - 70 = 0.\nAnswer: -2, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*h + 55481088 = 429041088. What is h rounded to the nearest one million?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35549, -35477, -35405?\nAnswer: -35333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 610 - 1211 - 3*q + 601. Let v(n) = 0*n**2 - 4*n**2 + 3*n**2. Determine m(v(k)).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58078 + -58079. Suppose -4*w + u = -5, -w = -5*w - 4*u + 20. Which is the nearest to w? (a) -2 (b) p (c) -2\/61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12443718139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 6347\/1953?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 18*a - 3. What is the remainder when s(5) is divided by 11 + (-32 - -9) + 34?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, j: 1, v: 2}. What is prob of picking 1 v and 1 j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 173*d**3 - 11*d**2 + 498*d - 8. Let l(q) = -58*q**3 + 4*q**2 - 166*q + 3. Let h(b) = -8*l(b) - 3*n(b). What is the second derivative of h(f) wrt f?\nAnswer: -330*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4279 or 29952\/7?\nAnswer: 4279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*b - 2*b + 2*b)*(0*b**3 + 4*b - 12*b**3 + 4*b**3) as i*b + p + h*b**2 + x*b**3 + d*b**4 and give d.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -66*s**3 - 23*s**2 - 86*s + 25. List the prime factors of b(-5).\nAnswer: 2, 3, 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -875, -1467, -2059, -2651, -3243?\n\"Answer: -592*y - 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 6*s + s + 2*s + 1 - 1 + (-1 + 1 - 3)*(s - 2*s - 4*s) - s + 3*s + 0*s)*(-s - 3*s + 3*s) - s**2 - 5*s**2 + 4*s**2.\nAnswer: -29*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/2*32\/24. List the prime factors of (p + -5)\/(0 - 1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 25\/2 of a decade?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6551589 to the nearest integer?\nAnswer: 2560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/16*-6*-2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y - y + 0*y)*(4*y - 4*y - 2*y + (28 - 49 + 27)*(2*y - y - 3*y)) in the form s + a*y + x*y**2 and give x.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13943 - 5880. What are the prime factors of c?\nAnswer: 11, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2346 and 102?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26171.96119624 minus -11?\nAnswer: 26182.96119624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1865.\nAnswer: 5, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 6*g + 6. Let t be s(-5). Let u(b) = -b**2 - 25*b - 15. Let p be u(t). Suppose 0 = -p*q - 8*q + 4828. Does 24 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112002.\nAnswer: 2, 3, 11, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.2, 5, -5, 2, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25931962.\nAnswer: 2, 7, 1852283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (24*m + 42*m + 21*m)*(-32 - 7 + 13 - 2 + 0 - 2 + (-1 + 2 + 1)*(-2 + 0 + 4))*(-4*m + 3*m + 3*m) as j + a*m + d*m**2 and give d.\nAnswer: -4524","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -5\/18 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and 1.3.\nAnswer: 9.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - m, 4*x - 5*x = -2*m + 3. What is the lowest common multiple of 2 and x + (1 - -1 - -2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55786?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-1))\/(75\/25)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - 8598.\nAnswer: -8595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mlmmmhehmsem. Give prob of sequence hslm.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 66 - -4?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -599 (b) 1\/2 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16.8 - -2.5.\nAnswer: -14.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g + 64. Let t be m(43). Suppose t = p + 3*v, 5*p - 4*v - 76 = 10. Are p and 18 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 936 and 585.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tfffftfdftffffff. What is prob of sequence fd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 315\/30*(-2)\/(-3). Solve v - 13 = -5*k + n, -3*k = 3*v for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -190, -4, -3 in increasing order.\nAnswer: -190, -21, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -39*m - 425. Let f be j(-11). Solve -4 = -5*b + f*c - 17, b = -5*c + 9 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -263636.811 rounded to the nearest 1000?\nAnswer: -264000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.049 and -19.\nAnswer: -18.951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 150.5 + -167.5. Let j = -36\/5 + 33\/5. Which is the nearest to j? (a) 2 (b) -2\/15 (c) -1 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**2 - 31*f - 18. Give b(17).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.8 - -0.3. Let y = 0.5 - v. Let m = 59 - 60. Which is the nearest to m? (a) 1\/2 (b) 0 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8713 equal to 43566\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {p: 2, u: 3, v: 15}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -978*c**2. Let s(a) = 72*a**2. What is f(s(j))?\nAnswer: -5069952*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33066 and 104643.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 105 + -147. Let k = 1564185 - 1564142.99938. Let h = j + k. Round h to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/((-6)\/(-10)*-1). Let y be r - 255\/(-5) - 5. Calculate the greatest common factor of y and 255.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2342 is divided by 293.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*r + 4*t, -5*r - 15 = -4*t - 90. Let z(b) = -12*b**2 + 12*b + 6. Let c be z(r). Is c\/(-27) - 1\/(-3) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1022.8 - 938. Let v = k - 84. What is the third biggest value in -0.4, v, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 380980 - 62280. What is s rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -654 - -503. Let v = w + 147. Which is the nearest to -0.1? (a) 8 (b) v (c) -0.1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 - (0 + (-88 - 36))\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -3\/6277 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4800388 divided by 2\nAnswer: -2400194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((19 - 10) + -13)*(-3)\/(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 6*b**2 + 2*b - 15. What is the smallest common multiple of w(5) and 166?\nAnswer: 1660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) - ((sqrt(133) - sqrt(133)*-3)*1 - sqrt(133) - sqrt(133)))\/(sqrt(7) - sqrt(2268)).\nAnswer: sqrt(19)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 170948*m - 683901. Calculate t(4).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = -5*h - 2*u, -h - 4*u + 112 = -0*h + 108 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) -1\/11 (c) 0.53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3203 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 129\/3520 and -23\/33728.\nAnswer: 1855040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 49246 at most 52290?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1410326251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(-1 + 5 - 6). What is the units digit of -14 + 15 + a*27?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43590818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16891?\nAnswer: 7, 19, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29220072, -29220065, -29220058, -29220051, -29220044, -29220037?\nAnswer: -29220030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (2384845\/34)\/(2*4\/16) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1340 divided by 145?\nAnswer: 268\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/3 + 9487628*s\/3 - 15812730.\nAnswer: 2*(s - 5)*(s + 4743819)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 1. Suppose -i + 2*l - 52 = 3*l, 5*i + 4*l + 258 = 0. Let n = i - -299\/6. What is the nearest to 0 in n, m, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-7*20\/(280\/14).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-5) + (1 - (-21966)\/30). Let y = 749 - m. What is the remainder when 29 is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v. Let j be a(5). Suppose -10 - j = -g. Let h = 30 - g. Calculate the lowest common multiple of 2 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.34 + -0.078.\nAnswer: 0.262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j - 143 = j. Solve -j*w - 6 = 16 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 1956?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 9*x**2 - 4*x. Let c be o(-9). Suppose 0*s = -5*y - 4*s + c, 12 = -2*y + 5*s. Which is smaller: y or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2042\/15 - 34684\/255. What is p in 6*p**2 + 0*p + r*p**3 + 0 = 0?\nAnswer: -51, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2583 = 50*q - 20883. Factor q*x**3 + 2 + 362*x**3 - 3*x - 727*x**3.\nAnswer: (x - 1)**2*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 + 4 + -8)\/(-4 - -2). Let f(t) = 2*t**2 + 11*t + 1. Let n be f(-6). Let h = n - o. Solve h = 3*v + v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/27055 and -27\/61840.\nAnswer: 432880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -70*b**2 + 937*b - 1879. Give y(2).\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/6*0 + 1. Let o(m) = 2*m**3 + m**2 - 2*m + 1. Let g be o(w). Find the second derivative of -3*x + x**2 + x + 2*x**g - 2*x**2 wrt x.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*v - 4*v - v)*(2091*v**2 - 23 + 5389*v**2 + 23) to the form f*v**2 + c*v**3 + l*v + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 92 + 14. Calculate the remainder when q is divided by 2 - 64\/36 - 4920\/(-216).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -18*v. Let i(g) = -g**2 - g - 1. Let j(t) = -6*t**2 - 3*t - 3. Let m(z) = -3*i(z) + j(z). Give u(m(p)).\nAnswer: 54*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -10 + 10 + 9379*q - 9382*q. Let j(d) = -10*d - 2. Determine j(a(u)).\nAnswer: 30*u - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4432601, -4432596, -4432591?\n\"Answer: 5*g - 4432606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (9 - 7)) + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3834.8 + -5484. What is v rounded to the nearest 100?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 22*v + 97. Let w be g(-6). Let r be (-250)\/(-75)*18\/(-15). What is the nearest to -2\/5 in 1\/5, w, r, 3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 10 = 5*k, -5*c - 3 = -2*k - 7 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 20 = 5*x, 0 = 5*x - 16*b + 11*b - 20. What is the third derivative of -51*d**x + 6*d**5 - 51*d**4 - 74*d**2 + 101*d**4 wrt d?\nAnswer: 360*d**2 - 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-525)*-1*20\/(-2)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 1. Let q(d) = -8*d**2 + 8*d - 5. Let m(i) = 23*i**2 - 23*i + 14. Suppose 7*k + 72 = -47. Let x(l) = k*q(l) - 6*m(l). Calculate -3*c(o) + x(o).\nAnswer: -2*o**2 + 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-2 - -14 - 7)*-3 + 1.\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jejiijieeellllie. Give prob of picking 1 i, 2 j, and 1 e.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 25\/9 - 4\/(-18). Let r be 1 - 4 - ((y - 2) + -4). What is h in 2\/5*h**4 + 0 + 0*h + r*h**3 + 0*h**2 = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 5*l - 33 = -15, 4*v + 4*l + 8 = 0. Let a(m) = 3*m - 5. Let j be a(v). What is the third smallest value in -0.5, 1.4, j?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 - 92*d**2 - 104*d + 192.\nAnswer: 4*(d - 24)*(d - 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) 2\/583 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 227355.94953 - 227355. Let l = 0.87 + 0.08. Let v = n - l. Round v to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1071 - 5487 = 192*g for g.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 2*y = 0. Suppose y = -5*i + 135 + 95. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -112.7 + -4568792539.\nAnswer: -4568792651.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -5.75. Let p = -0.05 + q. Which is the second biggest value? (a) -5 (b) p (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1844265 divided by -3\nAnswer: 614755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2091, 3996, 5901, 7806?\nAnswer: 9711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 13*z**2 - 41*z - 10. Let n be m(-9). Let i be (0 + 2)*1 - -12. What is the highest common factor of n and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 411 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 + -13. Let r = -0.3 + -4.7. What is the second biggest value in 1, w, r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 288531629*s**2 + 421888767 with respect to s.\nAnswer: 577063258*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41 and 369?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-7)\/21*1 - 3512\/(-6).\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 4*k**3 - k - 3 + 2 to the form s*k**3 + l*k + b*k**2 + h and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, g: 1, w: 3, y: 4}. What is prob of picking 1 g and 1 d?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*-1*sqrt(204) + -6*(2*sqrt(204) + sqrt(204) + sqrt(204)) + sqrt(204))\/((sqrt(216)*4)\/(sqrt(18)\/(sqrt(27)\/sqrt(3)))))**2.\nAnswer: 6137\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 267706 minus -14964?\nAnswer: 282670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 31\/14 (b) -2.1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13899.\nAnswer: 3, 41, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.69298 millennia in years?\nAnswer: 53692.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-2\/9))**(-17\/3))**(-22))**(35\/2) assuming j is positive.\nAnswer: j**(-13090\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/8 - 28\/16. Let x = 27 - l. Suppose 6*j - 2*j - 62 = -g, -g + 61 = 3*j. Calculate the remainder when g is divided by x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**9)**36\/(p**18*(p\/((p**6\/p)\/p))\/p*p))**(-36) assuming p is positive.\nAnswer: p**(-11124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - v. Let g(c) = -50*c**2 - 16*c - 6. Let r(b) = -b**2 - 2*b + 1. Let w(n) = -g(n) - 6*r(n). Give w(l) + 28*z(l).\nAnswer: 28*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 - -246?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*o - 31*o - 75600. Round o to the nearest one thousand.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -4. Let m(t) = t + 1. Let c(d) = -6*m(d) - 3*q(d). Let k be c(2). Sort -5, k, -3 in ascending order.\nAnswer: k, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 28 = -2*h, 3 - 2 = h. Calculate the least common multiple of 1 and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 781095?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 328027 and 35631651.\nAnswer: 35959678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**2 - 5*l - 6. Give x(10).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 620 is divided by 33?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.2 - -1.8. Sort f, 4\/9, 1\/4, -3 in descending order.\nAnswer: 4\/9, 1\/4, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.753 to 0 decimal places.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003144 to 7 decimal places.\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -161\/150 and 1104\/(-90)*4\/(-24).\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 5 + -6 - -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - 15\/(-110)*-21. Do 1 and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 10760, 21520, 32280?\n\"Answer: 10760*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 0. Suppose s - v*s = -52. What are the prime factors of s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4202*w**5 - 3*w**3 + 3241*w**2 - 16*w.\nAnswer: 252120*w**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 450 divided by -6?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a meter in centimeters?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41 - -44. Let y + 5*x**3 - 5*x**3 - 22*x**2 - 3*x**2 + 5*x**4 + 17 = 0. Calculate x.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10628 is divided by 759.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/524 + 2085\/5764. Suppose -7 = -5*d - v - 1, 4*d = -3*v + 7. What is the nearest to d in 0, y, -0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1.466 (b) 5 (c) 4 (d) 3\/5 (e) -0.04\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qassaaaqsqssqqs. Give prob of sequence aqqa.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o**3 + 5 - 5)*(135 - 58 + 169) as w*o**3 + q*o**2 + t + u*o and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = 3*a, 4*a - 4 = 5*s + 27 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 832 divide 371072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 - 4 = -2*x. Suppose a + 4*t = -0*t + x, -2*a - 4*t = -18. What is the first derivative of 2*g + 2 + 4 - 6 - a wrt g?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1023, -3013, -6343, -11025, -17071?\n\"Answer: -2*u**3 - 658*u**2 - 2*u - 361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, c: 2, y: 6, u: 3, e: 3}. What is prob of sequence cec?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3 - 12882*l**2 + 6231636*l + 12514824.\nAnswer: 3*(l - 3738)*(l - 558)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 530.271 + 0.729. Let f = v + -536. What is the closest to 1\/2 in f, 2\/7, -1\/2, 2.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of -q**6\/120 - q**5\/12 - q**4\/8 - 2*q**3\/3 + 278*q**2. Calculate o(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3)\/k**(4\/7)*((k\/(k**(9\/2)*k))\/k)\/(k\/(k*k**(-12))))**(8\/5) assuming k is positive.\nAnswer: k**(-236\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10412*z**2 + 10417*z**2 - 20835*z**2 - 3*z**3)*(-2*z**2 + 4*z**2 - 3*z**2).\nAnswer: 3*z**5 + 6*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a\/(a\/((a\/(a*a*a\/a**(2\/3))*a)\/a)))*a\/a**(1\/3)*a**(8\/7)*a**(-1\/4) assuming a is positive.\nAnswer: a**(109\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 2 + -2 + (-4104 - -4080)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 7*y - 48 = 0. Is y a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*l + 15*l - 3*s = -6000, -l + 2*s = -2012. Does 53 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - y - 1 = 0, -3*h - 3*y = h - 13. Solve -2 = w + h for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 25*t**2 + 25*t + 7. Calculate u(-24).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 149421 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of 266*b**3\/3 - 246*b + 147. What is the first derivative of v(g) wrt g?\nAnswer: 532*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*q**4 - 2*q**4 + 9*q**4 + (1 - 1 - 2*q**2)*(-2*q**2 - 2*q + 2*q).\nAnswer: 16*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (3 - 10)) + -2 - (33 + 5).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -526546*v**2 + 2*v**4 + v**3 - 12 + 526546*v**2 in the form y*v**4 + s*v + m*v**3 + p + b*v**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1498231984.\nAnswer: 2, 31, 53, 56993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 4. Suppose 8 = 3*f - 4. Suppose 0*y + f*y = 4*i, -2*y - 9 = i. Is y smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 9*x - 24 = 12*x, 0 = -o + 5*x + 22 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 417*i - 452. Determine g(1).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -7. Let u(h) be the second derivative of 1\/6*h**4 - 1\/10*h**5 + 1\/21*h**n - 2*h + 0*h**2 - 1\/15*h**6 + 0*h**3 + 0. Find i, given that u(i) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/20)\/((-39)\/(-5) - 9)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 5, 8, 7 in decreasing order.\nAnswer: 8, 7, 5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 454694171?\nAnswer: 454694171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 976, 1991, 3006?\nAnswer: 4021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35551 and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -7535*c + 60285. Determine f(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -15752a0 (base 11) to base 14\nAnswer: -4dcd94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 107539506 divided by 7389?\nAnswer: 14554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*i**2 - 31*i**3 + 122*i**2 - 56*i**2.\nAnswer: -31*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnnnnnwwn. Give prob of sequence wwn.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 118 times -0.14\nAnswer: -16.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -k**3\/3 + 4*k**2 + 8*k - 3. Is r(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57771.\nAnswer: 3, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (2361*10\/(-15))\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/19689435 and -49\/21877150.\nAnswer: 196894350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/41)*g**21)\/(g**(1\/7)\/g*g*g)**(3\/4) assuming g is positive.\nAnswer: g**(5767\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 222873 or 1.6?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -16 (b) 1\/2 (c) -1 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i - 4*i + 0*i + (-115*i - 119*i + 229*i)*(4 - 2 + 0) + 2 + i - 2 + (-3*i + 8*i - 4*i)*(-2 + 3 - 3).\nAnswer: -13*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2240501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 234 and 2496?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25243\/2 + -214612\/17. What is the common denominator of 8\/42*3\/2 - 483058\/(-453880) and n?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, -3, -0.3, 1\/2.\nAnswer: -3, -0.3, 1\/2, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d**5 + 19*d**4 + 17*d**3 + 13*d**2 - 4*d. Let k(p) = 12*p**5 + 75*p**4 + 69*p**3 + 51*p**2 - 15*p. Let v(o) = 4*k(o) - 15*l(o). Factor v(x).\nAnswer: 3*x**2*(x + 1)**2*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1084 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28 - 14 - 115 + 34)*(3*c**3 - 3 + 1 + 1).\nAnswer: -201*c**3 + 67","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -346.\nAnswer: -1384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of -3*f**5\/160 + f**4\/8 + 3*f**3\/16 - 27*f**2\/8 - 39*f. Determine j, given that a(j) = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -345*i**4\/7 - 2421*i**3\/7 + 11724*i**2 - 150372*i\/7 - 2640\/7 = 0. Calculate i.\nAnswer: -20, -2\/115, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-3*sqrt(432).\nAnswer: 108*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/3*o**3 - 16\/3*o - 8 + 2\/3*o**2 = 0. What is o?\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 10 + 19)*(3*g + 2*g - 7*g)*(1 + 3*g - 1).\nAnswer: -180*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/6 - -2\/3. Let m = 3\/5 - 1\/10. Solve m*i**2 - 1\/2 + w*i - 1\/2*i**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - 9*h + 1. Let a be d(-13). Let o = -47 - a. Suppose o*z + 1471 = 3*w, -2*z = -0*w - 3*w + 1463. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 830*j**4 - 945*j.\nAnswer: 9960*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**36*f*f**(-7\/11) assuming f is positive.\nAnswer: f**(400\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 h when three letters picked without replacement from hmxmxxxxxmxxxxxhhxxm?\nAnswer: 39\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/28 and 77\/5467974.\nAnswer: 76551636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) 3\/4 (c) -3\/2 (d) 0.4 (e) -0.2 (f) 0.07 (g) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 3*v + 2, 0 = 4*v + v + 20. Suppose -5*j - u = 2*k, 2*j + 1 = k - 10. Solve -k*z = -1 + 26 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -4*f**5 - 4*f**4 + 8460*f**3 - 65852*f**2 + 57400*f = 0.\nAnswer: -50, 0, 1, 7, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10756*u**3 + 3*u**2 - 20*u + 954451 wrt u?\nAnswer: 32268*u**2 + 6*u - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 31020?\nAnswer: -31020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -163092?\nAnswer: -1\/54364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**2 - h - 5. Let n be b(-5). Let v be -3*(2 + n\/(-15)). Suppose 2*u - 3340000 = v*u. Round u to the nearest 100000.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7)\/98*(-3 + 1). What is the closest to 4 in 0.2, -3, a?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218245 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/17 (b) -4 (c) -3\/5 (d) 1453 (e) -1 (f) 0.2 (g) -1\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -66708 divided by 6\nAnswer: -11118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 83465567 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1415211 to 2 decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 2 = c. Let r = c + 4. Suppose -r*k = -8*k + 27. Let b(a) = 2*a**2 - 4*a + 5. Let f(o) = -4*o**2 + 9*o - 11. Give k*b(w) - 4*f(w).\nAnswer: -2*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -10324161, -10324160, -10324159, -10324158, -10324157, -10324156?\n\"Answer: h - 10324162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -49172659 - -34393334. Let x = m + 7079325. What is x rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/15)\/((-4)\/10 + 1537\/1305)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 5009?\nAnswer: 6\/5009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 405128.\nAnswer: 2, 89, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 4*h. Let v = 151 + -157. Is h less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d + 2. Suppose l = 2 - 4. Let j be (l + 48\/15)*-5. Let t = 8 + j. Calculate a(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 89, -1.9, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from qjfqqfjjqjffqjfqqffq?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 18*o**2 + 1078*o + 15950. Calculate t(-33).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 23*k + 2. Let n be i(-23). Let x be 1*(-2 - -1)*4. Put x, -3, n in ascending order.\nAnswer: x, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i*i**5)\/i)**(-33)\/(i*i**10)**(-34) assuming i is positive.\nAnswer: i**176","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -876*t**2 - 106*t + 22. Let f(c) = 3505*c**2 + 419*c - 89. Let x(q) = 3*f(q) + 13*n(q). What is the second derivative of x(i) wrt i?\nAnswer: -1746","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/13)\/m**3)\/(m*m\/m**6*m**(-6)*m))\/((m**(3\/2)\/m**(-4))\/(m*m**3\/m*m**(1\/5))) assuming m is positive.\nAnswer: m**(501\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000107007825 rounded to 7 decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 6 = 2*b, 2*b = a + b for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -84*k + 77. Determine z(5).\nAnswer: -343","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -100, -4, 4, 85 in increasing order.\nAnswer: -100, -4, -3, 4, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 360.39 + -17539679.\nAnswer: -17539318.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 396 divided by 44?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -53542302 + -2?\nAnswer: -53542304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -57, -98, -145, -198, -257?\nAnswer: -322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3630 + -1366. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 193*w + 196*w + 49 = 0, -15*w = 3*r + 222 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**0*y**(2\/9))\/(y**(-2\/9)\/(y\/y**(-2))))\/((y**2)**(3\/14))**(13\/5) assuming y is positive.\nAnswer: y**(734\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 1 + 7)*(6 + 0 - 3) + 4 - 3 + 5)*(107*t - t**2 - 7 - 216*t + 111*t).\nAnswer: -21*t**2 + 42*t - 147","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 7*r**2 - 6*r - 17. Let h be j(-6). Let p = -42 + h. Find the first derivative of -p*y**2 - y**2 - 9*y**2 - 1 wrt y.\nAnswer: -46*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 71142344 and 73944?\nAnswer: 8216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.987 and 4?\nAnswer: 3.013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15397 - 3*a - 15397.\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*a - 14. List the prime factors of (a - 1\/(-2))*-6.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**3 + 3*t**2 - 3*t - 2. Let a be -1 - -2 - 0 - -1. Let d be c(a). Suppose -2*p - 2*p = -d. Is 5 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/9 and 151\/48.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 307134 and 4903974?\nAnswer: 2034","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*p + 150. List the prime factors of p.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 18 and 0.11.\nAnswer: 1.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-4)*(5\/5 + -19). Suppose 28 + 44 = a*z. Let f(w) = w**3 - 7*w**2 + 3. What is the remainder when f(z) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ptte when four letters picked without replacement from ppptetppppppppptppep.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 274876, 274878, 274880?\n\"Answer: 2*x + 274874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -1391703, 0.24?\nAnswer: -1391703","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.07 - -0.07. Let q = -41.4 - -45.4. Which is the third biggest value? (a) -1 (b) q (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/27 + 24986\/112356. Let z = g + -315225\/24968. Calculate the common denominator of z and -31\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 + 9*w + 15. Let k be z(11). Let p be 2 + 3 + k - -2. Let y be 6*(11\/(-3) - -4). Put y, 4, p in decreasing order.\nAnswer: 4, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13.898 and -45?\nAnswer: -625.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*g + 4. Let v be (g\/(-48))\/(2\/(-3))*22. Which is smaller: 7 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3790113062?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/125, 103, -2, 2, 3?\nAnswer: 2\/125","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 5*w - 4*w)*(-2*w + 3*w + 2*w + (-w - 2*w + 2*w)*(-4 + 2 - 1)).\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -577 - -671. Let b = 8894339 - 8894244.999752. Let p = b - x. Round p to 5 decimal places.\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 278467 by -49.\nAnswer: -5683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -27*o**2. Let p be (-122)\/(-7) + (-3)\/7. Let a(k) be the first derivative of -3*k**3 + 116. Calculate p*a(j) - 6*n(j).\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/8*-1*-4. Let l(y) = w + 6*y**2 + 2*y + y - 1 + y**3. What are the prime factors of l(-5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 15040 + 15036 = 5*w, -2*w - 5*p + 10 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**3 - 3*v**3 - v**4 + (6 + 5 + 1)*(-2*v**4 - 3*v**4 + 2*v**4) - v**4 + v**4 - 2*v**4.\nAnswer: -39*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 1022*d. Let i(r) = 33*r. Let j(y) = 63*i(y) - 2*v(y). Let h(l) = l. Calculate -30*h(o) + j(o).\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*u + 36*u + 24*u - 10*u - 2*u in the form z + i*u and give i.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.18 - -0.02. Let o = y + -0.1. Let w = -4\/21 - -95\/168. Is w not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9107702 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**3 + 20*k**2 - 3*k**3 - 3*k**3 + 2*k**3 = 0. Calculate k.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**4 - 193*w**2 - 2*w**4 + 196*w**2 + 2 + 2*w**3 to i*w + y*w**3 + h*w**4 + q + s*w**2 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0285294596 rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 257.1676 to the nearest ten.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 586876?\nAnswer: 2, 146719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**5 + 2*a**5 - 3*a**5 + (-a**2 - 2*a**4 + a**2)*(a + a - 3*a) + 35*a**3 - 32*a**2 - 34*a**3 + 5*a**5 + 38*a**2.\nAnswer: 8*a**5 + a**3 + 6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 5, 12, -0.2.\nAnswer: -0.2, 0.4, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-5)\/(-3))\/(1\/(-3)). Let u = 7 + g. Suppose 9 = 4*d + 1. Solve 0 = 6*x - 4*x + u, -1 = -d*b + 5*x for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/82616 and 43\/7184.\nAnswer: 165232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -23*c**2 + 12*c. Let o(s) be the first derivative of -s**2\/2 - 1547. Determine l(o(w)).\nAnswer: -23*w**2 - 12*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.85172 to two dps.\nAnswer: 3.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*m**2 - 9*m**2 + 22*m**2.\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.055605 - 0.355605. Let v be (-6)\/(-8)*(-8)\/(-36). Which is the closest to -0.01? (a) v (b) 3 (c) 0.4 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 + 16. Suppose 0*c + 3*c - 6 = v. Let n = 7 - c. Solve n*d = 4*d + 5*s - 12, 3*d = s - 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 22 - 18. Let f(g) = g**3 + 7*g**2 + 10*g + 5. Let r be f(i). Let v be 2*((-2)\/3)\/1. What is the third smallest value in -3\/4, v, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 4*x - 86, z - 41 = -2*x + 4. Calculate the remainder when x is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 h, and 1 g when three letters picked without replacement from {g: 1, n: 1, h: 2, w: 8, t: 7}.\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j + 26. Let b be s(11). Suppose -b*d = n - 1364 + 210, 2*n = -2*d + 574. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.69 plus -20095?\nAnswer: -20088.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 77485 and 123976?\nAnswer: 619880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -3 + (0 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24.1*-0.3.\nAnswer: 7.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 n when four letters picked without replacement from {e: 6, n: 3, r: 4}.\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 633?\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -19 + 222?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = 30, 37*s - 66*s + 16 = -27*s - 3*r - 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y - 2. Let j(z) = -1. Calculate -h(i) - 6*j(i).\nAnswer: -3*i + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-219*c**2 - 82*c**2 - 43*c**2)*(-c**2 + 3*c**2 - 3*c**2)*(c + 6*c - 4*c)*(6 - 7 - 6).\nAnswer: -7224*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 20*n. Let j(g) = -507*g**2. Determine j(m(s)).\nAnswer: -202800*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 25418.514 months?\nAnswer: 2.1182095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-5*(-2*sqrt(95) - sqrt(95))*-1)\/(-1*-1*sqrt(405)*-1).\nAnswer: 10*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 459262103 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -19*f - 13. Let y be s(-1). Let v be (-22)\/(-4) - (-9)\/6. Solve -3*a + l - y - v = 0, 5*a + 27 = -l for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of b**3\/3 + b. Let y(j) = -640 + 640 - 2*j**2. Calculate l(y(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/3360 and 199\/9240.\nAnswer: 36960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83323.\nAnswer: 97, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1549 + 1608. What is the closest to 2\/11 in -2, -1\/18, l?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 231143?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-11)\/p)\/p**(-4\/5)*p**(-9\/5)\/(p**(-2\/5)\/p))**(1\/5) assuming p is positive.\nAnswer: p**(-58\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of -d**4\/90 - 14*d**3\/45 + d**2 - d + 30. Let x(m) be the first derivative of j(m). Factor x(z).\nAnswer: -2*(z - 1)*(z + 15)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1)**(-35)*i**2*i*(i\/(i\/i**(-2\/5))*i)\/i assuming i is positive.\nAnswer: i**(-162\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 2*j - 2. Let d be s(4). Suppose -3*c + d*c = -66. What is the common denominator of c and -56\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 2, -0.05, 4\/7, -3, 795?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(182)\/(sqrt(7)*1) + (sqrt(182)*2)\/sqrt(7))\/(sqrt(16)\/sqrt(128) + sqrt(32)*6)*2.\nAnswer: 24*sqrt(13)\/97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 5*s**2 - 2*s + 1. Let p be m(1). Let d = -52 + 96. What is the highest common factor of d and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12\/11 + -9\/22. Let b be (30\/4)\/((-18)\/(-57)). Let r = -25 + b. What is the smallest value in -3, r, l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 550*i**2 - 26412*i + 570. Calculate s(48).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2347223*j**5*x + 111*j**4*x - 13*j*x + 1459828*x wrt j.\nAnswer: -46944460*j**3*x + 1332*j**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -90.2 - -89.7. Let r = 1.43 - -0.57. Which is the smallest value? (a) i (b) 4\/3 (c) r (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, q: 3}. What is prob of picking 2 x and 1 q?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3031*c**3*j**3 + 2712*c**3*j**2*w + 3*c**2*j**3*w - 441*c**2*j**3 + 6*c*j*w + 2*c*w wrt c?\nAnswer: -18186*j**3 + 16272*j**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1998 + 1993. Sort 2, o, -385 in descending order.\nAnswer: 2, o, -385","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6762053)\/9 - (-3)\/(54\/4). Let u = i + 361339. Round u to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-4) - 15\/12. Let p be -3*(-16)\/12 + -2. Let r(n) = 5*n + 0*n**2 - 5*n + p + n**3 + n**2. Give r(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**2 + 3202*x\/7 + 1520\/7 = 0. What is x?\nAnswer: -152, -10\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -61*g**2 - 117*g + 1409. Calculate p(4).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(700) - (-2*sqrt(700) + sqrt(700))*-1)**2 + -4 + 2 + ((sqrt(77) + -1*sqrt(77) + sqrt(77))*-4)\/sqrt(11) + -3.\nAnswer: -4*sqrt(7) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -277.6 - -323. Let y = 28.4 - p. Which is smaller: 2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + 6*c**2 - 5*c. Let p(k) = k**2 + 7*k + 4. Let z be p(-7). Let n be t(z). Is 20*(-2 + 111\/n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11573 + -4762. Is 49 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 19*o**2 - 20*o. Let p be a(20). Let -2*d**2 + p + 2\/3*d = 0. Calculate d.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 636 is divided by 92?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -a + 2*a + 2*a + (4*a - 6*a + 0*a)*(-3 + 1 + 4) + 27 + 6*a + 64 - 5*a + (3 + 0 - 1)*(2*a - 2*a - a) as t*a + s and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1202*y - 552 = -1248*y for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - 3*j + 5. Let k be i(-5). Suppose b = -0*x + 3*x - 16, 3*b - 3*x = -30. Sort 0, b, k in increasing order.\nAnswer: b, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from plaeelaketletpkplk. Give prob of sequence lkte.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 161\/23 + ((-17)\/5 - -4)\/((-5)\/(-75))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/199890 and -17\/201330.\nAnswer: 447153930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 8. Suppose -2*u - k = -24. Is 5 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.214 (b) -0.4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + 10*a**2 - 53*a - 188. Let x be b(-13). Let s(l) = 5*l + 13. Let t(n) = 4*n + 12. Calculate x*s(w) + 7*t(w).\nAnswer: -2*w + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 92 + 21. Suppose -2*j + 7 = 3*j - 3*r, -j = 3*r - 5. Suppose x - p = -j*u, x = 5*u - 235 - 58. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 102 = 4*x - 6*x, 51 = -5*q + 27*x - 26*x for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 9. Suppose 4*q - 7 = -s*z, -9 = 3*z - 8*z - 4*q. What is the highest common divisor of z and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20*a**4 - 272*a**2*v**3 + a*v**3 - 539*a*v**2 - 8 wrt a.\nAnswer: -240*a**2 - 544*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 662782619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -660, 4, -3, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 24 = -11*f. Which is the closest to -1? (a) 1 (b) -1\/8 (c) 2.7 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -413*m**2 - 415*m**2 + 833*m**2 + 2880 + 240*m = 0.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -84, -100, -52, 60, 236?\n\"Answer: 32*s**2 - 112*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -87, -281, -619, -1113, -1775, -2617?\nAnswer: -3651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 460 (base 15) to base 12\nAnswer: 6a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -1. Let l(n) = -n**2 - 4. Suppose 7*h + 21 = 4*h. Let b be h\/(-9) - 6\/(-27). Suppose 4*d - 2*d = -6, -5*d = -2*g + 9. Give b*l(x) + g*v(x).\nAnswer: -x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 105 and 95952815.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -16\/3*o**3 + 0*o**6 + 0*o - 15\/7*o**7 + 0*o**5 + 0*o**4 + 0*o**2 + 11. Find the third derivative of q(x) wrt x.\nAnswer: -1800*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/5)\/((-186)\/(-20)*(-1136)\/1704).\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j + 25 = j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4157.614l in millilitres?\nAnswer: 4157614","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4273704838 to the power of 1\/6, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-678)\/8)\/((-7)\/(-28)). Is t\/(-12)*-2*-2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00008861359 to 6 dps.\nAnswer: 0.000089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9\/3)\/(-10 - -2). Let m be (5\/27)\/((-230)\/276). Which is the second smallest value? (a) -0.5 (b) h (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 16) in base 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2 + -2)*(969\/(-12) + 3)?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i - i - 3*i + 27761 - 75*i**2 - 27762 in the form l + w*i + j*i**2 and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of -9937*x**4\/24 + 2443*x**3\/3 + 7193*x**2. Find the first derivative of r(t) wrt t.\nAnswer: -9937","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8295 and 345625.\nAnswer: 1036875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 5:10 PM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 320 = -4*g, x + 4*g = 226 - 128. Solve 4*n - 10 = 5*a, x*n = 75*n for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -0.1, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 362 - 8. Let u = 1379 + c. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -93 * 32.171.\nAnswer: -2991.903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 8, d: 1, h: 6}. Give prob of picking 1 d and 2 f.\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/52*((-2392)\/391)\/26)\/(-7)?\nAnswer: -1\/119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12625, 25243, 37857, 50467, 63073?\nAnswer: 75675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 17*j**2 + 20*j - 71. Calculate p(-18).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-2299)\/(-38))\/((-2)\/(-44)) is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30 + 29. Let y = 0.3 + -0.5. Which is the second biggest value? (a) y (b) o (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37 - -61. Is 25 bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -81*t - 78. Let q be i(-1). Put q, 0, 17 in descending order.\nAnswer: 17, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l. Let u(w) = -2. Suppose 3*m - 24 = -3*q, m = 3*q - 4*m - 24. Let f be (-2)\/8 + 10\/q. Calculate f*u(n) + 2*d(n).\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from wss.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 6*a + 4 = 0, 3*p - 19 = -3*a - 1 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 1234 - 1234 + 243*x in the form m*x + y and give m.\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of 0*v - 7\/60*v**5 - 9*v**2 + 0*v**4 + 0 + 0*v**3. Let a(r) = -3*r**2. What is j(a(p))?\nAnswer: -63*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.4 and 360341871710?\nAnswer: 360341871710.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(1008) + 2 + sqrt(1008)*-3)**2 + (-3*(sqrt(1008) - (3 + sqrt(1008))*-2))**2 + 3 + -5.\nAnswer: 4080*sqrt(7) + 73898","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 311, 24, 5, 4\/7, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1313?\nAnswer: 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/57 and 115\/228.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 4. Suppose -3*r - 4*v = -23, 2*r - 21 = -r - 3*v. Let p = -3 + r. Solve -k*c = p*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11387811 to the nearest integer?\nAnswer: 3375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p**2 + 2*p + 1. Let u(m) = 15*m**2 - 4*m - 199. Let i(c) = 2*r(c) + u(c). Differentiate i(j) with respect to j.\nAnswer: 22*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.851 + 2.351. Which is the third biggest value? (a) -1\/6 (b) 0 (c) z (d) 533\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41910 divided by -165\nAnswer: -254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1 less than -119.043960489?\nAnswer: -121.143960489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 6*j**2 - 5*j + 60. Calculate the lowest common multiple of z(6) and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 5*d + 15 = 8, 3*x - 3 = -3*d for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75, 159, 231, 285, 315, 315?\nAnswer: 279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -25*h**2 - 6*h + 6. Let g(m) = -100*m**2 - 25*m + 25. Let z be (-10)\/(-2) - (32 - (1 + (-3)\/(-3))). What is z*s(o) + 6*g(o)?\nAnswer: 25*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 3:13 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 12 = 4*w, 0 = 4*r - 7*w + 3*w - 4. Let j = 62 + -42. Suppose 12*o = 7*o + 10. Solve -2*a - r*a = o*s, 0 = 5*s - j for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 24 - ((-1 - -1) + (1 - (24 + -25))).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1273553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 1984149?\nAnswer: 4\/1984149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*r**2 + 292 - 292)*(5*r - 74 - 3*r + 18).\nAnswer: -14*r**3 + 392*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71761.\nAnswer: 71761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus -50.73475?\nAnswer: 48.73475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a**3 + 156*a**2 + 2*a + 5. Let g(o) = -o**3 + o**2 - 1. Calculate 5*g(j) + p(j).\nAnswer: -2*j**3 + 161*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15729 minus -726?\nAnswer: 725.84271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 18 = 4*p. Let l(q) = -q**2 - 6*q + 10. Let r be l(p). What is the greatest common factor of 90 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(136) + -3*-1*sqrt(136))\/(sqrt(1152)*-1 - sqrt(1152)).\nAnswer: 2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 plus -2.3085263?\nAnswer: -28.3085263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 8*n**2 + 3*n + 12. Let s be u(-8). Let y be (-9)\/s + (-42)\/(-8). Solve -4*z + 6 = -y*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 522375?\nAnswer: 3, 5, 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -10011001000101 (base 2) to base 13\nAnswer: -45c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49730861 and 747?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6.679798 nanometers?\nAnswer: 0.000006679798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.265 times -5?\nAnswer: -6.325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 4. Let y = -5 + b. Suppose 0*u - 4*l = u - 16, -5*u - 12 = -3*l. Solve u = -y*k - 0*k - 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24827 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 7 = -3*p, -2*c - 2*p - 2 = -0. Sort -0.2, c, 5 in ascending order.\nAnswer: c, -0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 0*w + 36*w = 19348. List the prime factors of w.\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 9*b**2 + 11*b + 18. Let q be c(-8). Let r be ((-5)\/(-5) + (-34)\/q)*3. Let a be (1 - 0) + 1 + 1. Solve a*x + x = -r for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -301, 1, -6\/7, -0.98, -3\/5, -2.5?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(0*q - q + 0*q) + (0 + 0 - 2*q)*(33903 + 36319 + 6255 + 4886 + 14323).\nAnswer: -191374*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33 and 96063?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11\/100 - 319\/100. What is the common denominator of 103\/110 and i?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 10:20 AM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 5:05 AM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 38145099?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -35, -24, 3, 52, 129, 240, 391, 588?\n\"Answer: x**3 + 2*x**2 - 2*x - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -2\/7, 1, -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 95 - -205. What is the common denominator of -65\/54 and x\/2160*(-34)\/15?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.488 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*z**5 - 21*z**5 + 9*z**5)*(-9 - 8 + 5).\nAnswer: 432*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26464530 and 2850?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 78520 and 660660.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 316976485 and 672.\nAnswer: 316977157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 221767, 213773, 205781, 197791, 189803, 181817?\nAnswer: 173833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, o: 3, g: 11}. Give prob of picking 1 e and 3 o.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - c + 9 = 0, 41*c + 21 = -l + 46*c for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 12:18 PM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (36\/8)\/(3\/(-24)). Let c = 51 + z. Suppose 0 = -4*y + 4*x + 480, 3*x = -2*x + c. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31195461 is divided by 1404.\nAnswer: 1389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10*(-14)\/56)\/20.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.306, 0.2, 2\/9, -37 in decreasing order.\nAnswer: 2\/9, 0.2, -0.306, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 2. Suppose 2*d + f*j = j + 14, -5*d - j - 1 = 0. Suppose 0 = -13*x + 15*x - 8. Let w(l) = 3*l**2. Let u(h) = h**2. Calculate d*w(m) + x*u(m).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1752*f**2*u**3 + 15994*f**2*u - 2*f**2 + 26*f*u**3 + 2*f*u**2 + f + 114*u**3 - 30*u**2 + 3*u wrt u?\nAnswer: -10512*f**2 + 156*f + 684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**5)\/((b\/b**(1\/23)*b)\/b))\/(b*b**10)**(-28) assuming b is positive.\nAnswer: b**(7200\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -30*k + 1670. Calculate the smallest common multiple of 6248 and p(55).\nAnswer: 31240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2639 + 7993. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - (-4 - -2 - 4). Let z = s - 7. Find the third derivative of z*b - b**4 + 8*b**2 + 0*b wrt b.\nAnswer: -24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-24) + (-3)\/(-24). Solve 0 = k - l + 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, y: 5, x: 2, a: 3, u: 1, t: 1}. What is prob of picking 2 y?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 2\/46901 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -87 - -192. Let a = 980 - 645. Suppose 0 = -338*p + a*p + 45. What is the highest common factor of i and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 6*y**3 - 81*y**2 - 40*y - 6. What is z(14)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 551 <= 450?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.07 - 0.07. Let t = -102 - -73. Let x = 57\/2 + t. Which is the closest to x? (a) -0.3 (b) 0.1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 3 + -23 - -9?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 6*x - 30. Suppose -x*b = -b - u + 3, 0 = b - u + 3. Solve -5*t + 3*m - 1 = b, 3*t + 5*m = -2*t + 15 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**5 + 3*p**4 - 9*p**3 - 3*p**2 + 6*p.\nAnswer: 3*p*(p - 1)**2*(p + 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*l**3 - 2*l + 0*l**2 - 4\/3.\nAnswer: 2*(l - 2)*(l + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*h**2 + 4*h**2 + 3*h**2 - 2136*h**3 + 2138*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 16) to base 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -2a?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -5*f + 3*r, -3*f - 19 = -0*f + r. Let h be (-45)\/f*(-4)\/(-6). Let j = -10 + 6. Put h, j, -2 in ascending order.\nAnswer: j, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 495877807?\nAnswer: 683, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + r + 14 = -14 + 3, -89*r = -88*r + 5 for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -284, 24, 5.\nAnswer: -284, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 9*c**2 - c - 3. Let x(f) be the first derivative of -f**3 - 11*f**2\/2 - 5*f + 24. Let b be x(-4). Let t be m(b). Solve 3*p = -t - 6 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, b: 2, x: 5, f: 5}. What is prob of picking 2 f and 1 b?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 12*i**2 - 3*i + 7. Let r be v(-12). Suppose h - r = -15. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110262*r**2 + 51249*r**2 - 56276*r**2.\nAnswer: -115289*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16265?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/14*-7 + (-33)\/2. What is the nearest to f in -0.3, -0.5, -27, 4?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(832))**2 + -5.\nAnswer: -16*sqrt(13) + 828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of a**6\/90 - 3*a**5\/20 + 5*a**4\/6 - 22*a**3\/9 + 4*a**2 + 64*a. Factor w(t).\nAnswer: (t - 3)*(t - 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*t - 15 + 15 to g + a*t and give a.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 7675865?\nAnswer: -7675863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -103.3 + 102.9. Let p = -0.3 - -0.5. What is the nearest to p in -2, b, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 6240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 115 - 112. Let v be (-4)\/5 + 24\/5. Suppose 4*b = 4*w + 36, 0 = -b - 0*b + v*w + 3. Solve -5*h + 35 = -5*l, -r*h = -l - 0*l - b for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 24*a - 9*a - 5 - 16*a. Determine n(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001349165013 to 7 decimal places.\nAnswer: -0.0000135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 172 - (9\/(-6))\/3*-4. Suppose -3*o - 2*o + d = 0. What is the remainder when o is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6851 and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -4*f - 4. Suppose 4*v + 6 = 3*v. Let h be y(v). Suppose -5*m + 2*j = -3*j - 95, -h = 4*j. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 466.4636 - 864.4393. Let t = z - -398. Round t to three decimal places.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l = 4*l + 592. Let s = -60 + l. Suppose -7*d - s*d = -63. Put -1, d, 4 in increasing order.\nAnswer: -1, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2 + (sqrt(16)\/sqrt(2))\/sqrt(4) + sqrt(6)\/(sqrt(3) - (sqrt(3) + sqrt(6)\/sqrt(2))) + 3)*-2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5324 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -29159242\nAnswer: -29159243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + -10. Suppose -g + 5*g = 5*o + 73, 21 = g - i*o. Calculate the remainder when g is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 8*l**2. Let g be n(8). Find the third derivative of 14*k**3 + 1 + 67*k**2 - 58*k**2 + g wrt k.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 554270135.\nAnswer: 5, 1039, 106693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, 136, -2 in increasing order.\nAnswer: -2, 2, 3, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + o - 9 = -4, o - 11 = -3*k. Suppose -k*y + f + 16 + 179 = 0, 3*y - 195 = 4*f. Suppose 265 = 15*m - y. Is 22 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 883181721?\nAnswer: 3, 294393907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 6:56 AM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5659595*z**2 + 5659595*z**2 - 3505*z**3)*(-2*z**2 + 3*z**2 - 2*z**2).\nAnswer: 3505*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-7) - (59 - 26400\/448))\/((-2)\/324).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 2550184 = 13*y - 12*y, 3*x + y = 3825291. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from ooqoooqq?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1854120229?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 146110930?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 8*k**3 + 4*k**2 + 13*k + 19. Let p(i) = -5*i**3 - 2*i**2 - 6*i - 10. Give -13*p(o) - 6*w(o).\nAnswer: 17*o**3 + 2*o**2 + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2201401020 (base 5) to base 9.\nAnswer: -8776723","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -17, 62, 107, 100, 23?\n\"Answer: -3*f**3 + f**2 + 97*f - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2216 or 2222?\nAnswer: 2222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 - (-102040)\/4 - 5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65881903 is divided by 77417.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11380?\nAnswer: 2, 5, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -271 * -2.04.\nAnswer: 552.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 30424119?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2*l**4\/5 - 6*l**3\/5 - 8*l**2\/5 = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*q - 317 + 191 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107\/1 + 7 + (-49)\/7.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 23 = 2*y + y, -p + 3*y = -8. Suppose 49 + 26 = p*a - 5*q, 5 = a + q. Solve 7*x - a*x - 6 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**2 - h - 4. Let v be w(-4). Suppose -4*c - 30 = -10, -c = -3*a + v. Solve 4*u = -4, 5*b + a + 0 = -4*u for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6\/5 - 8\/5. Let v = 1.064 - 1.164. Which is greater: v or o?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8.681407 litres?\nAnswer: 8681.407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - -2 - (-2 + -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 13 = j. Let u be j\/7 + 4\/14 + -3. Let b be u - 0*2\/6. Solve w - b = 2*w - d, 0 = 3*d - 9 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 144 and 5116284.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x**2 - 15*x - 429. Let w be p(19). Solve 4*r + 5*z - 5 = w*z, -3*r + 4*z + 9 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 8:57 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3131+-3640515\nAnswer: -3643646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -109, -825, -2019, -3691, -5841, -8469, -11575?\nAnswer: -15159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10*((-4)\/(-8))\/1. Solve a + 16 = 5*n, -5*a - 4 = -s*n + 16 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194 is divided by 62?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000146544 to six decimal places.\nAnswer: -0.000147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22.18 + 22. Let r = q + -9.12. Let h = r - -9.19. Round h to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*d**2 + 60*d**3 + 317*d**3 + 16*d**2.\nAnswer: 377*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 5 - 3) + 25\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 25 - 48 + 9*h - 12 + (-4 - 2 + 4)*(0 + 0 - h).\nAnswer: 11*h - 35","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17793.272 - 17544. Let w = n + -0.272. Let u = -248.999857 + w. What is u rounded to 5 decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*p = -273*p + 7224 + 1776 for p.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**4\/11 + 14*p**3\/11 + 4*p**2\/11 - 56*p\/11 - 48\/11 = 0. What is p?\nAnswer: -6, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -7407 equal to -7403?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 7) in base 6?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3897, 7814, 11731, 15648, 19565, 23482?\n\"Answer: 3917*u - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1895.8131ms?\nAnswer: 0.00002194228125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 722 - 306. Let a = 375 + n. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*n**2 + 10*n**3 + 6*n + 2*n**3 + 5*n**3 + 38*n - 19*n**3.\nAnswer: -2*n*(n - 2)*(n + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1563 and 6773.\nAnswer: 20319","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2698.064 rounded to the nearest 10?\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5*h = -32, 5*h + 75 - 25 = 5*x. Suppose -56*n = x - 65. Which is the fourth smallest value? (a) 1\/2 (b) -5 (c) n (d) 6\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15570 and 12481258?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3015 + 3014.9998301. What is w rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 556 + 544. Put z, 0.5, 0.3, -2\/9 in increasing order.\nAnswer: z, -2\/9, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z - 1888 = -1895 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -17. Let x = 6 + j. Is 4 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1057786*p**4 - 2183651*p?\nAnswer: 12693432*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 866737, 2, -2, 4 in descending order.\nAnswer: 866737, 4, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5183251 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -297401 divided by -7\nAnswer: 297401\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 10, x: 10}. What is prob of sequence rr?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/5, -258, 0.3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32139 + -32139. Sort t, 0.3, -15.4, 1.9 in descending order.\nAnswer: 1.9, 0.3, t, -15.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 638*z + 70*z - 1416. Is z at most 184\/167?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/((-20)\/(-1)))\/(-1)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.1, -1, 0.5, 2\/1461, 0.04?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -12, 5, 48, 129, 260, 453, 720, 1073?\n\"Answer: 2*s**3 + s**2 - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1281 + -1269 + (5 - 40)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 2 = -6. Let s = -10 - -72\/7. Which is smaller: s or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13.858597 - 10181721.141403. Let i = -10181317.9569 - d. Let n = -417 + i. What is n rounded to 3 dps?\nAnswer: 0.043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(288) + (sqrt(288) - -1*2*sqrt(288) - sqrt(288))))**2.\nAnswer: 23328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60418*u + 733780*u**2 - 60418*u - 733785*u**2.\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from bbbnmumnmombummonqoo.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -94*f + 237. Is h(-29) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1060461?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*l**2 - 35 + 18 + 18 in the form m*l**2 + w + s*l and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(147) + 1).\nAnswer: 3 + 21*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25.5 + 25. What is the fourth biggest value in 0.3, 3, t, -1\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 + 6 = w. What is the lowest common multiple of 12 and w?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l**2 + 8*l**2 - 13*l**2 + 12*l + l**2 - 2. Determine p(13).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1468, 12336, 41860, 99364, 194172, 335608?\n\"Answer: 1554*q**3 + 4*q**2 - 22*q - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 14*i**2 + i + 29. Let c be t(-14). Let z = c + -12. What is the second derivative of 5*r + 18*r - 14*r**2 + z*r**2 wrt r?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 40? (a) -3\/2 (b) 4 (c) -6.71 (d) -0.02 (e) -2\/7 (f) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*l = -24*l + 8. Let r be 1 - (l - (-3)\/(15\/(-10))). Solve 0*c + 2 = -2*c + 2*g, 13 = -r*c - 5*g for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15372 by -549.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 19266, 19271, 19278, 19287, 19298, 19311, 19326?\n\"Answer: b**2 + 2*b + 19263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2577*d + 127*d + 2609*d + 1525*d - 607*d as q + p*d and give p.\nAnswer: 6231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15237435 or 15237430?\nAnswer: 15237435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -34*h**3 + 2*h**2 + h. Is g(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s**3 + 6*s**2 - 2*s + 1. Let c be x(6). Let u = c - -1413. Is u\/5 - (-6)\/(-30) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 52 = -9*u. Let h be (-6)\/4*(-4)\/(-3). Is u < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9 - -1dd?\nAnswer: 1e6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100000100111 + 10000110001000?\nAnswer: -10011010011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 435397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 84423 (base 10) in base 7?\nAnswer: 501063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + s = -31, -2*j + 22 = -6*j + 2*s. Is -8 at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 3*l - 6 = 0, 15*b - l = 16*b - 4 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -22\/3, -0.2, -2\/3, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = -4*u - 26. Let g = -19 - -28. Suppose 1 = 5*j - g. What is the lowest common multiple of j and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 250\/90 + (-2)\/(-9). Put -4, z, -5, 4 in descending order.\nAnswer: 4, z, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28 + 38. Suppose -56 = 2*l - p*l. Suppose 4*m + l + 5 = 2*b, b + 2*m = 6. Solve -4*q = -b + 14 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2 + 0 - 5\/3*c**3 + 0*c.\nAnswer: -5*c**2*(c + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8714?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -36*f**3*s**2 + 2*f*s**2 + 25*s**2 wrt f.\nAnswer: -108*f**2*s**2 + 2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o + 6*o + 0*o + (-4 + 1 + 5)*(17*o - 190 + 190).\nAnswer: 37*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 + -14. Let q be (k\/4)\/(1 + 0). Let o(f) = -3*f - 2*f + q*f + 4*f. Let n(v) = 16*v**2. What is o(n(g))?\nAnswer: 32*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 7*m + 7. Let r(p) = p + 370 - 370. Let b(g) = d(g) - r(g). What are the prime factors of b(5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m**3 + 16*m**2 + 17*m - 34. Calculate g(9).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21048*m - 7016*m - 7020*m - 7017*m.\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130 + 2*f + 130.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.86694795 + -31.86699525. Let d = l - -27. Round d to six decimal places.\nAnswer: -0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 963, -717, -3, -1 in ascending order.\nAnswer: -717, -3, -1, 5, 963","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -1 - 0. Let r = 5 + p. Let 0*n**3 - 5*n**2 - 6*n**3 + 3*n**3 - 1 - r*n + n**3 = 0. Calculate n.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1185 is divided by 54?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*w**3 + 0*w + 0*w - 228*w**3.\nAnswer: -251*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 254*r**3 - 158*r + 120*r**3 + 2 + 154*r - 6*r**2 + 2*r**2.\nAnswer: 374*r**3 - 4*r**2 - 4*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 5*p**2 + 27*p. Let q(j) = j**2. Give d(q(y)).\nAnswer: 5*y**4 + 27*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjdjjjjxjxdjjj. Give prob of picking 1 x and 2 d.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 85838 and 15502.216?\nAnswer: 70335.784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**2 + 2*o - 452735. Let y(j) = j. Calculate y(f(k)).\nAnswer: 2*k**2 + 2*k - 452735","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -97066 - 1365*a + 97066 as g*a + j and give g.\nAnswer: -1365","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 0.0449 (c) 53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19732?\nAnswer: 2, 4933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 31.83233 + 87373\nAnswer: 87404.83233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2541 and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 599047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.27509 and 1277.\nAnswer: 2905.28993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 2502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = s + 4. Let z(n) be the first derivative of n + 1 + 0*n**s + 0*n**3 + 1\/2*n**4. What is the derivative of z(c) wrt c?\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 3114238 + 3114234 = 5*q, q = -8*l + 6*q - 143 for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-7)\/p**(-2)*p*p*p**(3\/2)*p**(1\/9) assuming p is positive.\nAnswer: p**(-25\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-5) + (-4)\/10. Let k = x + 0. Let q = 11 - 10. Put q, k, -0.3 in decreasing order.\nAnswer: q, k, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3372 + 26\/(-169) + 11\/(-13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 195458544 - 2.5368.\nAnswer: 195458541.4632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 16 = c, 0 = -4*c - 0*p - 4*p. Suppose 0 = 3*q - 3*w - 0*w + 6, -4*w = 2*q + 28. What is the lowest common multiple of 8 and q\/4 - (-46)\/c?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10.4 - 10. What is the biggest value in 0, 1\/5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a millimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 2*h = h + 165, 0 = -h. Suppose b + 43 = 4*c. List the prime factors of c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, r: 2, q: 1, c: 1, p: 5, t: 1}. What is prob of picking 2 d, 1 c, and 1 q?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 48 + -13. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14925038879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 289?\nAnswer: 2601","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -942732 divided by 10962?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52 + (-108 + 1 - 7)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**4 - 8*t**3 + 15*t**2 + 4*t - 20 = 0.\nAnswer: -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 2.48, -4, -1\/3, 2\/7 in decreasing order.\nAnswer: 2.48, 2, 2\/7, -1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q + 13. Suppose 5*j - 3*p = -21, -5*j + 10 = -5*p + 35. Determine h(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -615*s + 102*s - 2244 - 119*s + 2244.\nAnswer: -632*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -13. Suppose 0 = -j*k + 4*k + 31. Let g = k + 53. Is 19 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 g when two letters picked without replacement from {d: 1, p: 2, t: 2, l: 1, g: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + -13 - (-3 - -6 - -7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(((j**2*j)\/j)\/j))**(-48)*(j**(-4)\/j)**(-8) assuming j is positive.\nAnswer: j**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*m - 18*m**3 + 95*m**3 - 76*m**3 + 4*m**2 as z*m**2 + w + f*m + j*m**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(((k**(-3)\/k*k)\/k*k*k)\/k*k*k))**(-25)*k**(-10)\/(k*k*k**(-2\/3)) assuming k is positive.\nAnswer: k**(-184\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(80\/8)*3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*x + 19*x**4 - 13*x**4 - 2*x**3 + 5*x to b*x + s*x**2 + v + w*x**4 + c*x**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1808 = -101*i - 125*i for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -64\/15 and 151\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -147, -453, -675, -579, 69, 1503, 3957, 7665?\n\"Answer: 39*r**3 - 192*r**2 - 3*r + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 7*d**3 - 8. Let h be -13 - (2 - (-8)\/(-4)). Let i = -10 - h. Let v(g) = -11*g**3 + 1 + 6 + 5*g**i. Give -5*c(t) - 6*v(t).\nAnswer: t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15350973?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.573753 rounded to 2 decimal places?\nAnswer: -1.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -22, -3, 0.3 in ascending order.\nAnswer: -22, -14, -3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1283 and -451036.5054?\nAnswer: 449753.5054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*-2*2\/90?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.78506 centimeters in kilometers?\nAnswer: 0.0006178506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -1321*x + 668*x + 652*x. Let t(v) = 1541*v**2. What is q(t(s))?\nAnswer: -1541*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/3 - 64\/(-6). Let m = 401 - 194. Suppose q*s - m = 93. Calculate the greatest common factor of s and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4 + 7351499*w**3 - 44109018*w**2 + 88218052*w - 58812040.\nAnswer: (w - 2)**3*(w + 7351505)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/4, -7, 6.132, -4 in ascending order.\nAnswer: -7, -4, 5\/4, 6.132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t. Let v be 0 + -3 + 4 - -1. Let b(j) = 1 + 1 + 3*j**v - 2. Determine s(b(g)).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 205 divide 407562960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -308 = 7*r - 27*r - 24*r. Let c(x) = -x**2 + 392. Let g be c(0). Calculate the greatest common divisor of r and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/4 + 2)*1*-1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14914, 29833, 44776, 59755, 74782, 89869, 105028, 120271?\nAnswer: 135610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/4 - (-195)\/10. Suppose 2*j + 4*y = 20, 2*j - j + u = 4*y. Suppose j = h + 4 - 16. Calculate the remainder when 22 is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004167 to 6 decimal places.\nAnswer: 0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 8*d - 6. Let o(z) = 7*z - 7. Let f(s) = -3*l(s) + 4*o(s). Let k be f(3). Solve -i - 1 = -k*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*f**2*v - 90*f*v - 2*f - 39*v + 3 wrt f?\nAnswer: 10*f*v - 90*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 231 (base 5) to base 15.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + 6*b - 4. Let p be v(4). Solve 5 + p = 3*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 311515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -20*o - 33. Let q(p) = 153471*p. What is b(q(k))?\nAnswer: -3069420*k - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -2, -9, 26.\nAnswer: -9, -2, 1, 3, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 40501 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -13*l**2 + 2*l + 16. Let h(w) = -4*w**2 + w + 5. Let c = -8338 + 8340. Calculate c*z(b) - 7*h(b).\nAnswer: 2*b**2 - 3*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in four sevenths of a week?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 5*v**2 + 5. Let f(x) = -4*x**2 - 4. What is 6*f(w) + 5*k(w)?\nAnswer: w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -49, -2, 0 in descending order.\nAnswer: 0, -2, -4, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(168) - -1*sqrt(42)*6)\/(sqrt(36)\/(1*sqrt(6))*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y - 35576. Let a(g) = -167*g. What is o(a(h))?\nAnswer: 334*h - 35576","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1741299?\nAnswer: 3, 7, 283, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -283*s + 283*s - 8*s**2 in the form m + n*s**2 + w*s and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + v + 256, 0 = -4*q + 2*q - v + 101. What is the highest common divisor of q and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-9 + -4 - 2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-32)*(-24)\/144*-4.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.8 + -1.8. Let p(x) = 15*x - 19. Let u be p(2). Do c and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135527.\nAnswer: 7, 19, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*1\/(-3))\/(2\/(-8)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8099 in 4, -20\/7, -1\/2, -0.1?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 32*r**2 + 42*r - 18. Suppose -2*b - 112 = 4*t, t - 9*b = -4*b - 28. Is p(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q + 8 + 3 - 6 + 1. Calculate w(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 5*j + 7. Calculate y(-7).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 127573 + -88152. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - a = 3*s - 4199, -a + 1399 = s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -53 - (-3 + (-3 - 0) + (-7 + -15 - -28)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1016*q = -735*q - 1683*q - 942*q + 187520 for q.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2276.\nAnswer: 2, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 232970?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 12:31 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -271*z - 277*z + 456*z. Let d(l) = 4*l. Calculate 136*d(n) + 6*y(n).\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((-2 + sqrt(567))*-3 - sqrt(567)))**2 - (sqrt(42) + (sqrt(378)*-3)\/sqrt(9))\/sqrt(6)*4.\nAnswer: -136*sqrt(7) + 9076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170348 is divided by 56119.\nAnswer: 1991","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7725, 15503, 23335, 31215, 39137?\nAnswer: 47095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7.5, 310\/11, 0.167 in decreasing order.\nAnswer: 310\/11, 0.167, -7.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/12 + (-150)\/40. Sort -1, 5, x, 2\/19.\nAnswer: x, -1, 2\/19, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3065319 a multiple of 153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 165, 167, 169, 171, 173?\nAnswer: 175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2251176 and -1?\nAnswer: -2251176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -15*2\/36*(-12)\/2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 745?\nAnswer: 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-12)*2\/7)\/(-2)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 138*g - 53. What is the units digit of w(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*g**2 - 10*g - 51*g - 52*g + 113*g.\nAnswer: 70*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**2 + 19*o**2 + 0*o**2 + (0*o + 1 + 0 + 2*o)*(2*o - 3*o + 2*o)*(3 + 2 - 7) - 6*o**2 + o**2 - 3*o**2.\nAnswer: 4*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -36 in 8\/87, -6, -0.1, 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/6 - 4)\/((-3)\/4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3023, -6057, -9101, -12155, -15219, -18293?\n\"Answer: -5*j**2 - 3019*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.903 rounded to 1 dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -566326 + 5?\nAnswer: -566321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1694)\/(-98) + 4\/(-14). Calculate the greatest common factor of o and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 380877 and 644063007.\nAnswer: 644063007","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = u + 4. Suppose -6*l = -u*l. Let w be l + 0 - (29 - -1). Round w to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2065380 rounded to the nearest 10000?\nAnswer: 2070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04223? (a) -4 (b) -2.8 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10740 and 240?\nAnswer: 42960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 866 is divided by 175?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 737.05 and 4?\nAnswer: 2948.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-8 - -2 - 8) + 3 - 31.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a43 - -43?\nAnswer: -a00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 26008 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -64*c*w + 3946*c*y**5 - 350*c*y - 769*w*y**3 - 7*w wrt y?\nAnswer: 78920*c*y**3 - 4614*w*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 46092493991 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -76\/7 (b) 4.091 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (120\/11)\/(((-175)\/(-14))\/(-25)*(-140)\/385).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*i**2 - 4*i**3 + 16*i**2 - i**3 - 38*i**2.\nAnswer: -5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n. Let q be m(0). Let i(r) be the third derivative of r**5\/60 - r**4\/24 + r**3\/3 + r**2. What is i(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -401 - -400.99547. What is d rounded to four decimal places?\nAnswer: -0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 219729 and 4?\nAnswer: 878916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 3:48 AM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 8.271213 centuries?\nAnswer: 827.1213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9020 + -126381\/14. What is the common denominator of r and -99\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9329350073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10215 a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*l + 7 - 35 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/4*40\/15)\/(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, o: 5, z: 2, x: 3}. Give prob of picking 1 z, 2 o, and 1 q.\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 3*d + 7*d + 4 = 0, 3*j - 4*d - 6 = 0. Let b = -0.6 - -0.2. Which is smaller: j or b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3 = -i, -28*m = -25*m + 5*i + 17. Put 4, -18, 5\/6, m in increasing order.\nAnswer: -18, 5\/6, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -4*a**3 + 5*a**2 - 3*a - 1. Let v be i(3). Let r = -34 - v. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 0 (b) -2\/2133 (c) -23 (d) -0.2 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2. Let u(q) = q**3 + 8*q**2 - 5*q + 7. Let k(l) = 2*t(l) + u(l). Is k(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 12*t**2 + 73*t + 45. List the prime factors of d(-25).\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*s**6 - 23*s**4 - 21*s**3 + 34969*s**2 wrt s?\nAnswer: -1200*s**3 - 552*s - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - b + 54 = 4*s, -5*s - 5*b = -70. Is ((-16)\/20)\/((-4)\/s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-44)\/165)\/((-1)\/(-10)). Let m = 170 + -169.8. Which is the second smallest value? (a) -2\/5 (b) j (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a litre in millilitres?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -3*v**2 + 1365*v + 51460. Determine q(-35).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-125)\/30 - -4)\/((-1)\/(6\/4)). Find y such that n*y - 1\/2*y**3 + 0*y**4 + 0*y**2 + 1\/4*y**5 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -3*o + 109. What is s(43)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.038 (b) 0 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-4*sqrt(130)*-2 - -3*3*sqrt(130)))\/(2*-2*sqrt(490)*-3).\nAnswer: -17*sqrt(13)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/7 (b) -9 (c) 4\/3 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3133 (base 6) to base 12.\nAnswer: -4a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 1 = 4*s. Let f = -4.87 - 0.13. What is the nearest to s in 1\/7, -2, f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97e (base 16) in base 9?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 304010590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 99 - 67. Let h be (-1)\/(m\/(-2))*2. What is the closest to -0.1 in -0.3, h, 3\/8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1837 + 1842. Let i be (-6)\/8*2*4. Does 9 divide ((-4)\/i)\/((z - 2)\/81)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -22*p + 29*p. Calculate the highest common divisor of p and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43*d**2 + 24092 + 2*d - 24092)*(0*d**3 - 5*d**3 + 3*d**3).\nAnswer: 86*d**5 - 4*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**3 + 7610*y**2 + 1372000*y + 66100000.\nAnswer: 5*(y + 100)**2*(y + 1322)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38454066 divided by -77217.\nAnswer: -498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 701, 2, 5.\nAnswer: 2, 3, 5, 701","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 38 + -13?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-6)*-6*(-10)\/(-20)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from axaaraaraaxaaxax.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/7 or -18169\/2546?\nAnswer: -18169\/2546","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 5:11 AM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4523.5837 rounded to the nearest integer?\nAnswer: 4524","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p + 12. Let u(t) = t + 13. Let n(m) = 4*a(m) - 3*u(m). Let z be n(0). Let h = z - 6. Solve 2*x - 4*x + 2 = -5*d, 0 = h*x + 4*d - 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, q: 4, k: 1, w: 4, a: 1}. What is prob of sequence kqq?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 158*m**2 + 6. Let x(u) = -53*u**2 - 2. Determine -4*d(z) - 11*x(z).\nAnswer: -49*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 1876*a - 420. Let l(k) = 5*k + 6. Calculate -420*l(p) - 6*s(p).\nAnswer: -13356*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 188\/(-3) - (-4)\/(-12). Let c(m) = -18*m - 16. Let u be c(-9). Let p = u + y. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 6*f - 420. Let d be -2 - (3 + -6) - 16\/4. Sort d, f, -4 in decreasing order.\nAnswer: f, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*r + 12*r = -4*s - 13 + 31, 14 = -r + 4*s for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0 (b) 38 (c) -0.5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 498535 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 204115 by -204115.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(4\/9)\/v**30)\/(v**(-1\/11)\/v*v**(-13)))**(-39) assuming v is positive.\nAnswer: v**(19903\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 10.9\nAnswer: 3.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 - 5*m + 181. What is f(-18)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/5)\/y*y)**(-15\/4)*y**6\/y*y*y*y**(-1)*y)\/((y**(-2\/13)\/(y\/(y\/y**(2\/3))))\/(y**(8\/7)\/(y\/y**(-5)*y))) assuming y is positive.\nAnswer: y**(1891\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.23 + 8.23. Which is the closest to -3\/4? (a) -3 (b) g (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h - 14 = -50 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**4 - 3*p**3 + 3*p**3 + (1 + p - 1 + (9 - 1 - 21)*(-10*p - 5*p + 9*p))*(-p**3 + 3*p**3 + 0*p**3).\nAnswer: 159*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l**2 + 3*l**3 - 109 + 4*l**2.\nAnswer: 3*l**3 - 109","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 74 + -74. Suppose h = 17*v - 21*v + 8. Calculate the greatest common factor of 14 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/980 and 109\/840.\nAnswer: 5880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x. Let d(s) = -129*s + 1. Let w(k) = d(k) + 3*n(k). Is w(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4035 - 4027. Solve -102 + 78 = f*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 36*c - 22. Let b be j(1). Suppose -3*k + 23 = 5*y, 8 = -13*y + b*y + 4*k. Solve -2 = -2*l - y*f - 12, f + 4 = -l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 20 = -6*q. Suppose -3*a + 4*z = -136, 2*z - q - 5 = 0. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 17*k**2 + 15*k + 19. Let i be t(16). What is the second derivative of 81*a**3 + i - 81*a**3 - 7*a - a + 50*a**4 wrt a?\nAnswer: 600*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, i: 6, y: 3, d: 2}. What is prob of sequence zyiz?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -571*l - 9051. Is n(-27) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4387\/30 + -692\/5. Find the common denominator of -51\/25 and o.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjwbwjwwwjjjnwjwwwsn. What is prob of sequence jw?\nAnswer: 63\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15882212 + 24000212. What is h rounded to the nearest one hundred thousand?\nAnswer: 8100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2495 + -102. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 - 2*r - 3. Let z be k(4). Let o be 18\/(-45) + 2 + 24\/(-15). Put -1, z, o in ascending order.\nAnswer: -1, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1064 is divided by 83?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56473.\nAnswer: 56473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.06 - 7.94. Let c = -7.999904 - i. What is c rounded to five dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uddd when four letters picked without replacement from dduud.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**2 + 2988*p + 21063 = 0. Calculate p.\nAnswer: -7, 1003","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1472215343 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gmsn when four letters picked without replacement from nmgmnms.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1a (base 12) to base 5\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - 3*s + s)*(-19*s**2 + 53*s**2 + 9*s**2).\nAnswer: -129*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*v - 9*v + 47163 - 10347 = 0. Is 13 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4124 - -4134. Solve 2*h - l = -8 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, x: 2, m: 1, j: 1, q: 1, d: 3}. What is prob of picking 2 d?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -28*(-3 + 6)\/6. Find the common denominator of -22\/3 and 42\/g*62\/27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(324))\/(sqrt(12) - (sqrt(768) - sqrt(768)*1)))**2 - (sqrt(12) + -2 + 4*sqrt(75)).\nAnswer: -22*sqrt(3) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -85, -229, 11, 33 in descending order.\nAnswer: 33, 11, -85, -229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 2*l - 16, l + 28 - 8 = 3*r. Find the first derivative of -204 + 32 - 9*h**3 - 9*h**3 - 15*h**3 + r*h**3 wrt h.\nAnswer: -78*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 28.81173ug?\nAnswer: 0.00002881173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7517058*y**3 + 55346379*y**2 wrt y?\nAnswer: -45102348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 25, 4*u = x + 3*x + 32. Let l be (x - (-22)\/8)*-1. Sort l, -113, 1\/2.\nAnswer: -113, l, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 37 = -0*q + 5*x, 0 = 4*q - 3*x - 81. Let m = q - 24. Let i(w) = -w**3 - 2*w**2 - 4*w - 3. Give i(m).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 980 is divided by 956?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -3*u - 13, -i - u + 2 = -3. Let a(g) = g**2 - 11*g - 18. Let k be a(14). Let h be ((-2)\/4)\/((-2)\/k). Solve -2 + h = -i*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3930*y - 147384 = 1883*y for y.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 33363 at least 1701481\/51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + -32 + 37 + -53?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1485300)\/45)\/(-20) + 4\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 5028?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -28*o**3 + 8*o**3 - 493*o + 9*o**2 + 994*o - 501*o - 428 with respect to o.\nAnswer: -60*o**2 + 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1610 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(-1)*l)*l*l**(2\/5)*l*l*(l*l**7)\/l*l**(-7)\/l)\/((l*l**(-2\/5)*l**(2\/3))\/((l**(-6)\/l*l)\/l**(-2\/27))) assuming l is positive.\nAnswer: l**(-512\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sm when two letters picked without replacement from mlsm?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3037786811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -20342*q. Let x(b) = -b + 3. Give x(i(l)).\nAnswer: 20342*l + 3","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 9:46 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1975*a*d**3 + 2*a*d**2 - 3*a*d - 2*a - 76 wrt d.\nAnswer: -11850*a*d + 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**2 - 139*y - 7826 = 0 for y.\nAnswer: -43, 182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((80\/(-24))\/(-5))\/(-2)*5?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 66715, 66714, 66713, 66712, 66711, 66710?\n\"Answer: -y + 66716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.12 - 0.32. Let r = -1.4 - v. Let k = r + 1.3. Which is greater: k or -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + (sqrt(117) - sqrt(117)*-3)*4)\/(sqrt(900)*-1).\nAnswer: -17*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 742612.1 minutes?\nAnswer: 44556726000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d**3 - 131292029*d**2 + 131292029*d**2.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i - 7*i + 7*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 5 - 5 + 2*d + 14. Let i be q(-9). Let k = -2 + 2. Sort 1\/2, k, i in descending order.\nAnswer: 1\/2, k, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -3*m + 1, -4*m = -2*f + m. Suppose f*c = 7*c - 8. Let a be (-6)\/18 - 292\/(-12). Solve 0 = -b - 2*b + 4*r + 4, 0 = 2*b + c*r + a for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (7 + 1\/(7\/112))*26. What is the highest common factor of f and 322?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 74 = -12*f - 18*f. Solve -2 - 1\/2*t**f + 0*t + 3\/2*t**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -3795.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18\/21*-21*(-4)\/6. Suppose 3*w = -0*w - 3*n - 72, 0 = w - 5*n + j. Let c be 18\/w - 4\/22 - -155. Calculate the highest common factor of c and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1431 = 138*v + 21*v for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 63*-0.5\nAnswer: -31.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 538*p + 50. Is 119 a factor of b(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.666 from 138.\nAnswer: 137.334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 divided by -51?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/20032 + -41295\/24659392. Let t = y + -1227\/2462. Which is the third smallest value? (a) -231 (b) 2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 309*r - 89*r + 6355 = 1075 for r.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2.4, 32, 0.4, -15, -1\/6, -1.7?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-6) + (-8)\/(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 270 and 24435.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/209 and -69\/525298.\nAnswer: 109787282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -4*x, -5*k + 19 = 2*x + 2*x for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 53*h - 343. Let l be n(46). Which is smaller: -185\/9 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pege when four letters picked without replacement from hekqhgkhqphe?\nAnswer: 1\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**2 + 2*a**2 - 2*a**2)*(0*a + 3*a - a) - a**3 + 10*a**3 - 2*a**3 + (4*a**3 + 0*a**3 - 2*a**3)*(0 - 4 - 2).\nAnswer: -7*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -298*q**2 - 4769*q + 6 + 4769*q - 962*q**2 to the form g + m*q + t*q**2 and give t.\nAnswer: -1260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -35079*w*y - 371*y + 80 with respect to w.\nAnswer: -35079*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (300\/1250)\/(8\/(-5)). Let s be (-6)\/(-27)*((-15)\/10 - -2). Which is the third smallest value? (a) v (b) s (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 5 = -3*u, 0*z + 2*z = u - 15. Let y = u - 5. Let b be ((-12)\/(-15))\/(y\/5). Is 2 bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 162, 1230, 4012, 9306, 17910, 30622, 48240?\n\"Answer: 133*h**3 + 59*h**2 - 40*h + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 + -482\/27. Let r(t) be the first derivative of -c*t**3 + 2\/45*t**5 + 1\/18*t**4 + 0*t**2 + 7 + 0*t. Suppose r(j) = 0. What is j?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-12))\/(4\/(-8)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - 8882633?\nAnswer: -8882634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*l + 7*l - 2*l)*(-6*l + 0*l + 4*l) + (4*l - 2 + 2)*(1 + l - 1).\nAnswer: 10*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1562 and 1442507.\nAnswer: 781","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2))**(-3\/40) assuming v is positive.\nAnswer: v**(3\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 229425 and 50?\nAnswer: 458850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 769658302?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -85.7, 1, -2\/7, 45058?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (144\/(-192))\/(9\/32). Which is the second biggest value? (a) -2 (b) 4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (6 - -3)\/(572\/(-39) + 13).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18301 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 3800129000 to the nearest one million.\nAnswer: 3800000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 PM and 2:56 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 5 + -1 + 18 + -11.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-306)\/2295)\/(((-2)\/(-3))\/((-20)\/18))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -5*y - 12. Let d(t) = -4*t**2 - 4*t. Let c be d(-2). What are the prime factors of h(c)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppk when three letters picked without replacement from {k: 7, p: 12}.\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69803009 is divided by 155?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c. Let o(q) = 4*q + 1. Let l be o(1). Suppose -l*n + 5*y + 4 = -6, 2*n - y - 6 = 0. Let h(r) = 3*r + n*r + r. Determine h(t(w)).\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(425)*-3 - sqrt(425))*5 + (5 + sqrt(68)\/sqrt(4))*1 + -4)**2.\nAnswer: -3168*sqrt(17) + 166873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3557303*l**2*u + 475538*l - u wrt l.\nAnswer: -7114606*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 120527\/28 + -4296. Let f = 58\/7 - h. Which is the second smallest value? (a) -3 (b) 4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-45*n - 21*n - 465 + 64*n)*(-2*n - 2*n + 2*n) in the form g + z*n**2 + w*n and give w.\nAnswer: 930","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 825 is divided by 165?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -95*r**4 - 72450*r**3 + 364340*r**2 - 219630*r - 656325 = 0.\nAnswer: -14585\/19, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -2*q**2 - 2*q + 4 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 - -23. Let p = -0.04 + 4.04. Let y = -11 - -16. Which is the closest to x? (a) y (b) p (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-15)\/(315\/196)*(-1 + -2). Calculate the highest common divisor of 448 and k.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y**3 - 6*y**3 + 3 - y - y**2 + 2*y**3. What are the prime factors of n(-3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 0*q + 5*x = -12, 4*x = -2*q - 4. Solve -4*a + 2*d + 7 = -a, 4*d + 6 = -q*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 n when three letters picked without replacement from fnjffnjffnnfjfnj.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3210164?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40 - -78 - 39) + (-9 - 23)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5715\/4 + 1429. Let m(y) be the third derivative of 0*y + 0 - n*y**4 - 10*y**2 + 0*y**3. Let a(l) = 3*l**2. Give m(a(w)).\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -0.5 (b) 0 (c) -2\/143 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 6 - 311 - 2*f**2.\nAnswer: -2*f**2 - 326","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6709471?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - 3*z - 2. Let o be h(4). Let m(p) = p**3 - 3*p**2 + p. What is m(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 899 divide 87497872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of 2*x**3 + 2621. Let w(k) = 2*k**2 + 136. Calculate w(r(u)).\nAnswer: 72*u**4 + 136","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002754928599 to 6 decimal places.\nAnswer: -0.002755","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5.054303 nanometers?\nAnswer: 0.000000005054303","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 114\/(-4)*13\/26. Let n = l + 24. Find the common denominator of (3\/192)\/(3\/(-246)) and n.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 16. Let u = 5 + k. Let c(z) = z**3 + 6*z**2 + 3*z - 7. What is the units digit of c(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -45*h + 7. Let d(w) = -94*w + 14. Calculate -2*d(k) + 5*m(k).\nAnswer: -37*k + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (16\/30*(-57)\/(-38))\/((-42)\/(-30))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 249*p + p**2 + 991*p**3 - 485*p + 236*p.\nAnswer: 991*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -9*f**2 + 3*f**2 - f**2 - 3 + 3*f - 6*f. Let a(r) = 8*r**2 + 4*r + 4. Let v(n) = -3*a(n) - 4*b(n). Let i(s) = -2*s. Give v(i(t)).\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 0.04, -4, 49, -70?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-60)\/(-135))\/2 - (-4)\/(-18). Suppose 2*b - 5 = -v, -34*v + 35*v + 1 = y. Solve -b*d + 2*a = d + 10, -d = 2*a for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kil when three letters picked without replacement from {o: 1, m: 1, b: 1, k: 1, i: 2, l: 2}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.35 (b) -0.4 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a centimeter in millimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32.19122ug to tonnes.\nAnswer: 0.00000000003219122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*n - 18 - 1 + 38*n.\nAnswer: 54*n - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 + 0.4. Let n = 38.2 - 35. Let u = n + -3. Put u, 5, h in descending order.\nAnswer: 5, u, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1026203?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -33046*o - 198300. Give x(-6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14c + -1?\nAnswer: 14b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(700)*-2 + sqrt(700))*-2 + 0 - (-2*1*sqrt(700) + sqrt(700) + -5*sqrt(700)*-2).\nAnswer: -190*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 677, 682, 705, 758, 853?\nAnswer: 1002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -181*g**2. Let c(l) = 1442*l. What is f(c(q))?\nAnswer: -376364884*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0008532943 rounded to 6 decimal places?\nAnswer: -0.000853","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + -4 + 80\/44. Let z = -1707.2 + 1707. Let v = -7 + 3. Which is the closest to w? (a) z (b) 0.3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*v + 55 = -3*v, 0 = 4*x + 2*v - 196. Suppose 119 = 4*o + o - l, x = 2*o + 3*l. List the prime factors of (-4)\/6 + 1048\/o.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45477 (base 9) to base 16.\nAnswer: -764b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of 5*z**2\/2 - 2*z + 7. Let q be ((-13)\/3)\/(-1) - (-1)\/(-3). Let v(y) = 6*y - 3. Calculate q*x(g) - 3*v(g).\nAnswer: 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - 6*h - 2. Let b be v(-5). Sort -3, b, 2.\nAnswer: -3, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 455 - 73*c**2 + 33*c**2 + 41*c**2 as w*c + p + k*c**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*v + v + v)*(v - 2*v - v) + 0*v**2 + 2*v**2 + v**2 - 16*v - v**2 - 10*v**2 + 15*v to the form n*v + f + s*v**2 and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9875645 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -34.74 and -212.2253.\nAnswer: -246.9653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4800 - -11292. What is the hundreds digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1744.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1057*v**4 - 2644 wrt v?\nAnswer: -4228*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 5*t - 267 - 127, -2*t - 2*p + 160 = 0. Is t a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -2 + -1 - ((-15 - -22) + -8 + -6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -93, -2, 0, 59, -4, -412.\nAnswer: -412, -93, -4, -2, 0, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of 0 + 0*i**5 + 5*i**2 + 0*i**4 + 0*i**3 - 146*i - 79\/15*i**6. What is the derivative of y(a) wrt a?\nAnswer: -632*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 0)*(-j - 6*j + 6*j).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2631328?\nAnswer: 2, 7, 17, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -902 <= -913?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 - 2*i**2 - 87041*i + 87129*i - 6 in the form b + c*i**2 + j*i and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + 6*c**2 + 5*c + 6. Let o be g(-5). Let x(j) = 3*j - 1. Let b(r) = -4*r + 1. Let k(a) = -4*b(a) - 5*x(a). Give k(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*t**4*x - 102*t**3 + 80*t**2*x + 2*t**2 wrt t?\nAnswer: -48*t*x - 612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -51aa + -1?\nAnswer: -51ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/6 + 4)*(-18)\/(-21).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 54\/55931 or -0.03?\nAnswer: 54\/55931","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 296*i + 72 - 13 - 21 - 21 - 15 in the form s + a*i and give a.\nAnswer: 296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2482418855?\nAnswer: 5, 7, 70926253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3180*l - 292600. What is t(92)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 525543?\nAnswer: 3, 31, 5651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -81*y + 1. Let d(b) = 82*b - 1. Give 5*d(p) + 4*u(p).\nAnswer: 86*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9135*h + 26945 wrt h?\nAnswer: 9135","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*x - 34*x + 95. Solve -v - 2 - 10 = -3*h, x*h - 2*v - 20 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.92881273 rounded to 3 decimal places?\nAnswer: -1.929","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a968 + 6034?\nAnswer: -4934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1096119 is divided by 23827?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38533 is divided by 433.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 divided by 44?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 55ac5 + -138?\nAnswer: 5598b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/(-15) + (-163)\/(-3). Let c(n) = n**2 + 8*n + 3. Let g be c(7). Let u = g - y. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 25*n + 19. Does 16 divide g(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/2, -0.14, 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 9*o + 83. Let c be j(-9). Calculate the greatest common divisor of 14 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -871, 0, 4159, 3 in increasing order.\nAnswer: -871, 0, 3, 4159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p - 30 = -5*p. Let o be (-2 - 12\/p)\/(8\/(-20)). Solve o*q - 7 = 5 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*j - 5 = 33*j. Let o(l) be the first derivative of -63*l**2\/2 - 27*l - 34. Let v be o(j). What is the greatest common factor of v and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.04 + 3.96. Let f = -3.6 + p. What is the nearest to -1 in f, -0.4, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4727\/7 + 2\/(-7)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107942 to the power of 1\/2, to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 4:29 AM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 964.59128 to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52\/39*18\/(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*d - 2*d + 0*d + (2*d + 4*d + 6*d)*(-2 + 0 + 3).\nAnswer: 15*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.55 - 3.55. Which is the closest to 4\/3? (a) -3\/22 (b) 0 (c) -5 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.25 - 0.35. Sort 3, o, -0.07.\nAnswer: o, -0.07, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1011122120220 + -2011110?\nAnswer: 1011120102110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + -1. What is the second biggest value in k, -1, -0.6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 32\/12 - 11\/(-33). Let k(l) be the third derivative of 0*l**m + 1\/30*l**5 + 7*l**2 + 0 - 1\/12*l**4 + 0*l. Factor k(h).\nAnswer: 2*h*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11657 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/(-1))\/(-1) - -1. Suppose -2*s = -a*s - 8. Suppose 4*v - 3*v + 23 = 3*q, 5*q - 10 = -s*v. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l**2 + 19*l - 11. Determine k(-11).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 4*x = 7*g + 23, 2*g = 3*x + 15. Let o = 5 - 1. Suppose q + g = o*q. Solve -3*b = 3*w - b + q, -4*w - 3*b - 5 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 5*k**2 + 2*k + 11. Let t be u(-5). Suppose t + 20 = i. Solve -5*c + i = 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*j + 9*j - 4*j - 5)*(134 - 134 + 236*j).\nAnswer: -472*j**2 - 1180*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.65, 0, 0.4, -39, -1 in descending order.\nAnswer: 0.4, 0, -1, -2.65, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 8*s - 7. Let x be 14*(-5)\/(9\/(-3) + 1). Suppose x*r = 40*r + 35. Let y be v(r). Solve t = 4*p, -2*t + y*t + 2*p = 6 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 88, -0.5 in decreasing order.\nAnswer: 88, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) - ((sqrt(684) + 3)**2 + sqrt(684)))*-3 - sqrt(684) - sqrt(684).\nAnswer: 96*sqrt(19) + 2079","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4061 and -48.\nAnswer: 194928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {b: 2, m: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 5*u - 4. Let z(s) = -s**3 - 18*s**2 - 23*s - 5. Let x be z(-13). Let o = 548 + x. Give n(o).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11189*r**2\/2 - 117014561*r\/2 - 5229.\nAnswer: (r - 10458)*(11189*r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jz when two letters picked without replacement from zzjz?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 77e65 (base 16) to base 14\nAnswer: cad93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 134 + -9.4?\nAnswer: 124.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39.278466039575 - 1804476.891533610425. Let q = g + 1804512.17. Let u = -4 - q. What is u rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 + 85 = -10*r. Calculate the remainder when (9 + r)\/(-20) - (-1012)\/16 is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 662399111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 78 + -41. Let b = 39 - l. Solve 0*u - b*u = -10 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s - 6 + 6)*(58 + 11 - 16)*(3 + 1 - 5)*(1 + 1 + 0).\nAnswer: 318*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ms when two letters picked without replacement from mamlsummmuamvsalms.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + x**2 + 1 - 10.\nAnswer: x**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/4, 204, 1.54, -519, 0.5?\nAnswer: 1.54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -240*a = 96 + 1792 - 208 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 0, p - 3*p - 12 = -u. Let b(i) = -i**3 - 3*i**2 + 15*i - 11. Let d be b(p). Solve 0 = 3*c - d*c + 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10.8, -2\/3, -10 in decreasing order.\nAnswer: -2\/3, -10, -10.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -543706150*s - 896488315 with respect to s.\nAnswer: -543706150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -76.8288 - -10.6818. Let l = -0.147 - i. Let t = l - 66.032. Round t to three decimal places.\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43401 (base 16) to base 5\nAnswer: 32303312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/8575 and 131\/280.\nAnswer: 68600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 11*y - 69 + 25 = 0, 2*y - 8 = -15*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f**3 + 4*f**3 - 22*f**3.\nAnswer: -14*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 171 - -181. Suppose -x - 3*x + a = 0. Suppose -84 = -3*f + 2*j, 5*f - 91 - 71 = -4*j. What is the remainder when x is divided by f?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j - 1916 + 3*j - 3*j + 10754 - 2*j.\nAnswer: -2*j + 8838","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g - 15. Let t be i(-18). Suppose -o - t = -32. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 282 + -1*(-2 - 5\/(-5))?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**3 - 118*p**2 - 3*p - 1414. Let n(m) = 7*m**2 - m. Let l(q) = -3*n(q) + v(q). Find the first derivative of l(w) wrt w.\nAnswer: -6*w**2 - 278*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 1. Let x(u) = -u**3 + 3*u**2 - 2. Let a(o) = 2*q(o) + x(o). Solve a(c) = 0 for c.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -9ff?\nAnswer: a02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mk when two letters picked without replacement from mkkkmmkmmkmmmmmm?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17.44 - -17.5. Which is greater: r or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 374*j - 26*j + 58*j**3 - 132*j to b*j + v + z*j**2 + q*j**3 and give b.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 19575339 greater than 19575340?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*828.6754\nAnswer: -248.60262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 82\/1995 and -41\/1197.\nAnswer: 5985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d + 1186 = 2435 - 1217 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 30 = -2*o. Calculate the remainder when 8\/(-6) - -2 - 98\/(-6) is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2. Let c be -1*((-1 - -3) + -4). Let a(j) = 10*j**2 - 3*j**c + 0*j**2. Determine g(a(y)).\nAnswer: 49*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*c - 13678 = -664*c - 423*c + 20*c for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3*n - 10 = 0. Suppose -2*t = k - 169, 0*t - 809 = -n*k + 2*t. Let w = 412 - k. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -3833\nAnswer: 4\/3833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 o when four letters picked without replacement from {k: 1, o: 2, e: 2, d: 5, y: 4, v: 1}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 10*x = 12*x + 3, 5*x = 5*n + 45. Which is the biggest value? (a) 5 (b) -3\/7 (c) n (d) -61 (e) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1203333 (base 6) to base 3\nAnswer: 10012101210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/6339 and 47\/15?\nAnswer: 31695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35300 + 61420 = 30*s. Calculate the greatest common divisor of 832 and s.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(2736) - (sqrt(2736) - (-2 + sqrt(2736)))) + (-5 + sqrt(2736) + -5)**2.\nAnswer: -228*sqrt(19) + 2834","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/53 and -95\/15496.\nAnswer: 821288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 896 = 13*w. What are the prime factors of 12\/w*692*(-8)\/(-3)?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2880*0.015\nAnswer: -43.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.50005 times -310?\nAnswer: -155.0155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 76.16662mg in kilograms?\nAnswer: 0.00007616662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + i = -0*n - 22, -n + 2*i + 2 = 0. Suppose 8 = n*q - 10. Solve -6 = -3*s + q for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 219 + -221. Sort -0.3, -3, 2\/9, c in ascending order.\nAnswer: -3, c, -0.3, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**4 + 2221723*o**3\/4 + 13885883*o**2\/4 + 23328345*o\/4 + 4998933\/4 = 0. What is o?\nAnswer: -3, -1\/4, 555437","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 12*w - 125. Let a(g) = -2*g + 1. Let z(u) = a(u) - f(u). Let q be z(14). Is -69 at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -109, -215, -293, -259, -29?\nAnswer: 481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 l, and 1 c when three letters picked without replacement from {j: 7, c: 1, n: 1, g: 2, l: 4}?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 1:30 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.1 - -11.1. Sort -10\/13, -5, z in descending order.\nAnswer: z, -10\/13, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5548387 is divided by 346773?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2434257?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 230146?\nAnswer: 2, 7, 17, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 16 - (7 - (15 - -2 - 0))) + 72.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 5*m = 18, 3*g = -4*m + 2 + 2 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.052 + 187.7.\nAnswer: 187.648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 218*z**2 + 10 + 3 + 2 - z. Let r be u(17). Round r to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40725 < 40725?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of c**5\/20 + c**4\/6 - 2*c**3\/3 - 3*c**2\/2 + 79*c. Determine o(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -52 + 48. What is the nearest to q in 2\/3, 3\/4, 1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -30*x + o, -2*x + 0*o - 4 = -0*o + 2*o for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7388 and 12?\nAnswer: 22164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -2*l - 260. Find the first derivative of -24 + 43 + 16 - l*p wrt p.\nAnswer: -65","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1175.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1923*0.04.\nAnswer: 0.007692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/9 and -53\/426813.\nAnswer: 1280439","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 11283.\nAnswer: 2\/11283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 5:37 AM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6467950.\nAnswer: 2, 5, 277, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 11*y - 8 + 13 + 3*y**2.\nAnswer: 3*y**2 - 11*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2752?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-12)*264\/(-2596)\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-1\/2))**(-7\/2))**48 assuming m is positive.\nAnswer: m**(-84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -319.2 - -319. Which is the closest to y? (a) 5 (b) -7\/9 (c) 1 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 18 - 2, 0 = z + 2*b - 11. Suppose 38 = -z*y + 4*y. Suppose 3*x + 105 = 3*m, -x - y = -m + 3*x. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2)*p**(3\/4)\/p)**(28\/5)*(p**0)**(2\/53)\/(((p\/p**8)\/p)\/(p\/((p*p\/p**(-7))\/p)*p*p*p)) assuming p is positive.\nAnswer: p**(-43\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1010*y + 2 + 615*y - 1 + 8.\nAnswer: 1625*y + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*q**2 + 2*q**2 + 2*q**2)*(-3*q**3 + 2*q**3 - 2*q**3) + (q + 0*q + 2*q)*(-58*q**4 + 25*q**4 + 2*q + 34*q**4 + 7).\nAnswer: 9*q**5 + 6*q**2 + 21*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 176497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2664 - -155. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 16) in base 12?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 0 = 12. Let v = -1 - d. Does 2 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*0*(-6)\/24\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 109983\/(-5795) + 52 + -33\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000431322 to 7 dps.\nAnswer: -0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 10566, 12268, 16888, 25884, 40714?\n\"Answer: 243*o**3 + o**2 - 2*o + 10324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -665, -668, -681, -710, -761, -840, -953, -1106?\n\"Answer: -z**3 + z**2 + z - 666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 144.00023 + -144. What is c rounded to 5 dps?\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b**2*k**3 - 31878*b**2*k**2 + 45*b**2*k - 4145*b*k**3 - 9*b + 2*k**3 - k**2 - 4 wrt b?\nAnswer: 2*k**3 - 63756*k**2 + 90*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 234675?\nAnswer: 3, 5, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/(-69) + 43\/(-6) + 18\/(-3) and (-1 - (-44)\/(-3))\/1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1160 divide 276178600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1573)*-3 + sqrt(1573) - sqrt(1573))*3*4 - 1*(-2 + sqrt(117)\/sqrt(9)*-2))**2.\nAnswer: -1576*sqrt(13) + 2018072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25714 and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z - 2. Let r = -36089 + 36095. Let h(j) = 1. Calculate r*h(x) + 2*i(x).\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -21?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 5\/27 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -130323 (base 5) to base 3\nAnswer: -20222110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -17, -15, 3, 5, -2 in increasing order.\nAnswer: -17, -15, -5, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 60\/(-12)*1368\/10. Let o = q + 1075. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.665964 to 3 decimal places.\nAnswer: -2.666","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 34.629 and 1.35.\nAnswer: 35.979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 141 and 7943?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -10.2. Let f = 9551 + -9554. Which is the closest to w? (a) f (b) -4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 7728, -1, 0, 2, -2, -3.\nAnswer: -4, -3, -2, -1, 0, 2, 7728","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -71, -133, -207, -299, -415, -561?\n\"Answer: -m**3 - 55*m - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*((-15)\/(-1))\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 76070 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -6*d**3 - 8*d**2 + 7*d + 3. Let m(r) = -11*r**3 - 14*r**2 + 13*r + 6. Give -4*m(a) + 7*o(a).\nAnswer: 2*a**3 - 3*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48613\/7 - 6945. Put -633, 0.3, o in decreasing order.\nAnswer: 0.3, o, -633","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -2, -14929.\nAnswer: -14929, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u*(u\/(u*u**(-7)))\/u)\/u*u))\/(u\/(u\/(u**(3\/5)*u)*u)*u) assuming u is positive.\nAnswer: u**(-38\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/3, -3, 55, -0.06?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -126 + 126. Let g = -6 - -9. What is the nearest to k in g, 4\/3, -4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -32. Let r = 28 - y. Solve r = -4*g + 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/12 - 2\/(-3). Let a be -4*c*1\/(-2). Find the second derivative of -g**3 + 4*g + a*g**3 - 3*g wrt g.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 at most -519841?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 278 and 396706.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28201, 60910, 93619?\nAnswer: 126328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 + 6*f - 9. Let i be y(-7). Let z be (-16)\/12*i\/(-8). Which is the biggest value? (a) z (b) -0.1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6, f: 2, b: 11}. What is prob of picking 3 c and 1 b?\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of 7*o**4\/12 + o**3\/6 + 3*o**2 - o. Let x(n) = 23*n - 10*n**2 - 8 - 2 - 25*n - 1 - 3*n**2. Calculate 11*k(c) + 6*x(c).\nAnswer: -c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 477*u**2 - 244*u**2 + 424*u**2 + 214*u**2.\nAnswer: 871*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100715554?\nAnswer: 2, 37, 1361021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 97\/7 + -15 + 36\/7. Solve -4*r = -o*g - 16, -3*g - 6 = 19*r - 20*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160585950 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 91218.39 millilitres in litres?\nAnswer: 91.21839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 18*m - 42. Determine b(16).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 12. Which is the smallest value? (a) -0.5 (b) f (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -8*x**2 - 112*x + 224. Let g(d) = -d**2 - 16*d + 32. Let p(y) = -44*g(y) + 6*i(y). Let p(q) = 0. What is q?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -135, 404, 1201, 2250, 3545, 5080, 6849?\nAnswer: 8846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 3 = -t. Let s = -12 - t. What is the smallest value in s, -3, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 543 and 385005?\nAnswer: 69685905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 5 = -3*q + 4, 5 = -5*g. Let n(x) = 0*x**2 + x**3 - 2*x**q - 9*x - 2*x**2 + 2. What are the prime factors of n(6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n - 19*n + 8*n - 88 = -4*i, -4*n - 74 = -2*i for n.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-120)\/9*3\/(-2). Let v be (2\/7)\/(r\/35). Determine h so that 0 + 0*h + v*h**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 12:50 PM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*l**3 + 10*l**3 + 45*l**3)*(-4 + 3 + 4).\nAnswer: 123*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7543091602*t + 7543091602*t - 98*t**3.\nAnswer: -98*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 169 - 169. What is the units digit of (w\/6 - -548) + 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1035\/4 or -258?\nAnswer: -1035\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27758*n**3 - 50*n**2 + 27*n**2 - 27830*n**3 + 23*n**2.\nAnswer: -72*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence awa when three letters picked without replacement from {a: 2, q: 1, u: 1, w: 2, i: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1710, 0, -2093 in decreasing order.\nAnswer: 1710, 0, -2093","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -2*v**2\/9 - 1870178*v - 16831600\/9 = 0?\nAnswer: -8415800, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 7668628840 to the nearest 100000.\nAnswer: 7668600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*k - 6*k - 22*k - 11*k + 81*k.\nAnswer: 20*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 1 + 1)*(-2 - 3 + 3) + 2 + 0 - 6 + 61 - 50 + 95)*(2*m**2 + 0 + 0).\nAnswer: 212*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -6*(-2 + sqrt(252) - sqrt(252))**2*-3 - (1 + sqrt(252) + -3 + -3 + 5).\nAnswer: -6*sqrt(7) + 70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4149253 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**3 + 2*i**3 + i**4 + (-1 + 0 + 0)*(i - i - 2*i**4) + (-i**3 - i**3 + 0*i**3)*(657 - 657 + 26*i).\nAnswer: -49*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 1, 1\/2, 0.26, 4?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(6\/13))**24)**33)**(-1\/8) assuming b is positive.\nAnswer: b**(-594\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2*b = -13 - 0, 0 = 3*h + b - 29. Is 5 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17043.\nAnswer: 3, 13, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 158 and 1185.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 239976\/195536*(-4)\/(-18).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 203831?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 3*w + 1, -3*o + 3 = -2*w - 19. Let n be 15\/(-6)*o\/(-15). Which is greater: n or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 9:34 AM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39762*s**5\/5 + 23406*s**4 - 6736*s**3\/5 - 158952*s**2\/5 + 9024*s\/5 - 128\/5 = 0. What is s?\nAnswer: -2, 4\/141, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/233, 0.1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + l = 28. Let h = 16 + l. Suppose 5*k = -0*k + h. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d = 9*d + 24. Is (3\/2)\/(d\/136) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2*sqrt(2299) + 2 - sqrt(2299) - (sqrt(2299) + ((sqrt(2299) + sqrt(2299)*1)*4)**2))*4.\nAnswer: 1765608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 23b3c + -49?\nAnswer: 23ae3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -527, 24.11, -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 381*t + 3 + 3 - 6.\nAnswer: 381*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 24\/(-66)*11\/(-2). Let p(i) be the third derivative of 1\/300*i**5 + 0 + 0*i - 1\/40*i**4 + 1\/15*i**3 - 4*i**a. Solve p(s) = 0 for s.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 2655263 = 1317369. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1\/1280 - 525\/256. Let k be -1 + -3 + 28\/(-11). Let i = 659\/22 - k. Find the common denominator of a and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2634355 divided by 5.\nAnswer: -526871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -967.429 - -967. Let s = q - 6.491. What is s rounded to one dp?\nAnswer: -6.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 d when two letters picked without replacement from sdsjvvfvjvjdvvvjvvjv.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5633 is divided by 2806?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*p + 4 - 4)*(7 - 3 + 0) + 0*p - 3*p + 4*p)*(-2 + 2 + p + (3*p - 3*p + p)*(5 - 1 - 2)).\nAnswer: 39*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of -2*k**5\/5 - 10*k**2 + 70*k + 13. Find the first derivative of f(p) wrt p.\nAnswer: -8*p**3 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -0.5 (b) -1 (c) -2\/7 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -1 + 5 + 8 + -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2*m + 16 = 0. Suppose -m*o = -7*o. Let u = 2 + o. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -178 + -11 - (-99 - -55) - -31?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000164 rounded to 7 dps?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 5*a, 3*r = -2*a + 4*r + 1. What is the second smallest value in a, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 461611190?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**1\/l))**(-49)*l**(-2\/15)\/((l*l**(-8))\/l)*((l*l**(1\/4)*l*l)\/(l**6*l))**14 assuming l is positive.\nAnswer: l**(-2809\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 1:02 AM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - 2*j - 1. Let d be f(-1). Suppose 0*a = 4*a - 5*p - 8, d*a - 5*p - 14 = 0. Let t = 21 + a. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 3:36 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((4 - 9) + 5)\/(6 + -9). Solve -5*t + 5*f - 3 - 2 = x, -2*t - 2*f - 14 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -345167?\nAnswer: 345166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2365?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/2 (b) 1.1 (c) -0.3 (d) 0.4 (e) -30.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -t**6\/15 - t**5\/10 + t**4\/3 + 3*t**3\/2 + 24*t. Let b(g) = -g**4 + g. Let x(l) = 4*b(l) - 4*p(l). Factor x(o).\nAnswer: 4*o*(o - 2)*(o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5685519 rounded to the nearest 10000?\nAnswer: -5690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 697*f - 8 = 695*f, l - 5*f + 32 = 0. Solve 18\/7*h + 16\/7*h**2 + 4\/7 - 12\/7*h**l - 20\/7*h**4 - 6\/7*h**5 = 0 for h.\nAnswer: -2, -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b**2 - 22*b - 13. Calculate i(7).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 1. Let c(d) = d**2 - 6*d + 3. Let w be c(7). Suppose z = -z + w. Put n, 4, z in increasing order.\nAnswer: n, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 49396 and 1908.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -96 + 92. Put -2, -1, w in ascending order.\nAnswer: w, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zgnn when four letters picked without replacement from lnngzlnngzlgggzgl.\nAnswer: 9\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.766 - -1.69. Let k = i - 2.924. What is the nearest to -1 in 7\/2, k, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 428134636?\nAnswer: 2, 53, 2019503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*s + 100*s - 58*s**3 - 42*s + 57*s**3.\nAnswer: -s**3 + 16*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9402, -2\/21, 1\/2, 2, 0?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 0*k = 0. Let c = k - -4. Let b(f) = f**3 - 3*f**2 - 3*f - 3. Determine b(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7914 to the power of 1\/2, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.2, -0.4, 1, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 16) in base 2?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -5*y**4\/12 + 7*y**3\/6 + y**2. Let b(r) = -1 - 1 - 2 + 7*r - 1. Let q(h) = -7*b(h) - 5*m(h). Let t(l) = 3*l. Give t(q(v)).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 5*y - 115. Determine p(23).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 7:01 PM?\nAnswer: 10:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 10*m = 15*m - 25, 25 = 5*m. Solve s = 3*u + 2 + 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5*d - 20 = -0*m, 2*d = -2. Suppose -3*i - 4 = -m*i. Suppose 3*o - 2 = -8, -4*o - 30 = -i*x. Calculate the greatest common divisor of x and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 2 - -16 - 6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*s = -23*s + 2274573. What is the thousands digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 168 and 814344?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y**3 - 3*y**2 - y - 1. Let l(t) = -t**2 - t + 4. Let s be l(-3). Let h be c(s). Let p(q) = -q**2 + 3*q + 6. Give p(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1637253172 to the nearest integer?\nAnswer: 40463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 3*i = 4, 4*t + 3 = -4*i - 5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - 7*r + 2. Let k be y(6). Let b(t) = -t**2 - 7*t - 15. What is b(k)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + o**2 + o + 6. Let z(l) = l**3 + 2*l**2 + l + 7. Let p(j) = -6*c(j) + 5*z(j). Let k be p(4). Sort k, -1\/3, -3 in increasing order.\nAnswer: k, -3, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(20\/6)*297\/(-81). Let n = -27\/20 - p. Let g = 0.5 - 0.2. What is the closest to n in 0.5, 5\/2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/4 - ((-1512)\/32)\/3. Calculate the smallest common multiple of 74 and d*(4 + -8 + 5).\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3*x - 475 = 0, 0 = -3*x + 9. What is the greatest common factor of s and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 11.07. Let q = w - 0.08. Let a = q - 0.09. What is the smallest value in 0, 2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gobjm. What is prob of sequence gm?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*k + 17*k + 78*k - 28*k + 177*k.\nAnswer: 218*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -6*i**3 - i**2 - 117*i - 6. Let q(a) = -2*a**3 - a**2 - 4*a - 1. Determine -2*q(p) + w(p).\nAnswer: -2*p**3 + p**2 - 109*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.59 minus 0.2?\nAnswer: 16.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10717 + 10718. Let u = -0.1 + 5.1. Let x = u - 3. What is the nearest to 7 in j, x, -4\/9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88013 to the power of 1\/2, to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 51*k - 66. Let v be a(9). Let n = v + -335. Sort -2, n, -3, -5 in ascending order.\nAnswer: -5, -3, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -7*x. Suppose x = -23*p + 24*p - 38. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 7*n**2 + 4*n - 2. Let b(x) = x**3 - 6*x**2 + 3*x - 2. Let a(l) = 7*b(l) - 6*y(l). Find u, given that a(u) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -8*j**3\/3 + 5*j**2 - 3959*j. Calculate b(-3).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*3*(-15)\/(-270)*(-15)\/13.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from kgjjcjhgkjhv?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.9231 + 0.0769. What is the closest to -2 in i, -0.2, 0.5, 6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -2*f, 0 = 5*l - 5*f + 17 + 13 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*o**2*r**2*t**2 - 3*o**2*r*t**3 - o**2*t**2 - 118*o*r**2*t**3 - 5*o*r + 4*t**3 wrt r.\nAnswer: -4*o**2*t**2 - 236*o*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0*x**2 + 0 + x**2)*(1 - 1 - 2)*(-3 + 2 + 2).\nAnswer: -2*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5*v - 28 = -12, -5*x - v - 13 = 0. Let k = -4 + 5. What is the nearest to 2 in k, x, 3\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 5 = g, 4*r + 0*g - 4*g - 12 = 0. Let o = r - -3. Suppose 0 = o*d - 14 - 6. Solve -d*n = 3*j + n - 24, 3*n = 5*j - 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14)\/(-21) + (-20)\/(-6). Solve -2 + 18 = l*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 2092300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - c + 4*a + 323, -230 = -2*c - a. Suppose c = 3*g + 23. Is g a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1696\/(-426) + (-40)\/(80\/(-8)). Put 2, -1\/3, x in descending order.\nAnswer: 2, x, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of 1488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15212055*i**2 - 16425034 with respect to i.\nAnswer: 30424110*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qk when two letters picked without replacement from {q: 9, h: 2, k: 3, u: 3, e: 2}.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.08? (a) -21 (b) -2\/683 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*a**3 - 3 - 53*a**2 + 44*a**2 + 3 wrt a?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -70.4 - -62.31. Let w = -0.91 + b. Let a = 0.2 - 0.3. Sort w, a, -2\/9 in decreasing order.\nAnswer: a, -2\/9, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - z + 2*z)*(0*z**3 - 2*z**4 + 0*z**3) + (-5*z**2 + 4*z**2 + 3*z**2)*(2*z**3 - 1 + 1) + z**5 - 3*z**5 - z**5.\nAnswer: -5*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4110 and 170.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181033946*l**2 - 90516981*l**2 - 90516960*l**2.\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*r - 4 + 4)*(-224008 + 368*r + 224008).\nAnswer: -2208*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 15140056.8 rounded to the nearest 1000000?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -10194, -10183, -10158, -10113, -10042, -9939, -9798, -9613?\n\"Answer: q**3 + q**2 + q - 10197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 5*f**2 + 2*f - 6. Let a(u) = -u**3 + 8*u**2 - 13*u + 1. Let k be a(6). Determine v(k).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 21*i - 2. Let a(y) = 7*y - 1. Let v(j) = 7*a(j) - 2*r(j). Let h be -9*(0 + (-2)\/3)*1. Is v(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174*a**2 - 4*a - 115*a**2 - 90*a**2.\nAnswer: -31*a**2 - 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 6:59 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -20 + 51 - (2 - 10)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 + 4*s + 4. Let f(h) = h**2 + 4*h - 5. Let k be f(-7). Suppose 2*u = -2*u + k. Calculate the smallest common multiple of 9 and y(u).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*d + 3*d**2 - d**2 + d**2 - 99*d**4 - 26*d**4 - 4*d**2 + 2*d**5 wrt d?\nAnswer: 120*d**2 - 3000*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 6, a: 1, f: 1, q: 2, b: 5, k: 1}. What is prob of picking 1 a and 1 i?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*(o*o\/(((o**(1\/3)\/o)\/o)\/o)*o)\/o))**27*o**(-2)*o\/(o\/(o\/(((o**6\/o*o)\/o)\/o)))*(o*o\/o**(-1))**50\/(((o**2*o)\/o)\/(o\/o**(5\/3))) assuming o is positive.\nAnswer: o**(49\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 4 = -3*y - 4*p, 0 = 2*y + 4*p. Let l(g) = 15*g - 1. What is the tens digit of l(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 68732351794 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x**4 + x - 1. Let s(v) = 19*v**4 - v**3 - 5*v + 24. Let l(k) = -5*a(k) - s(k). Find the first derivative of l(b) wrt b.\nAnswer: -36*b**3 + 3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a + 2. Let f be y(0). Is (108 + 2\/f)\/1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8155 and 3304406.\nAnswer: 16522030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(160\/15)*(-16)\/342\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + -5. Calculate the lowest common multiple of (-600)\/(-27) - 10\/45 and a.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 64*g + 15. Is v(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of 7*d**3\/6 - 91*d**2\/2 + 7*d + 1. What is the first derivative of w(y) wrt y?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 21*j**2 - 152*j - 452. Determine o(-11).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -44 + 48 + (-1 - 13).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - l**2 + 6*l - 2. Let y = -128 - -133. Is 8 a factor of m(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from uiiuiiui?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4, 8, 42, 110, 224, 396, 638?\n\"Answer: 2*d**3 - d**2 + d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 16*j = 33. Let n(g) = -2*g**2 + 4*g - 3. Calculate n(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 44\/(-6)*(-210)\/(-20). Which is the fourth biggest value? (a) 1 (b) -2\/3 (c) f (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186*p = -j + 189*p - 3, 2*j + 27 = -p for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20888425.\nAnswer: 5, 593, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-91)\/1911)\/((-30)\/14))\/((-9)\/54)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-1714.34499.\nAnswer: -6857.37996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1638 + 4637. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = 4*s + 6, 92*s = 3*x + 87*s - 1 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68698.04g to micrograms.\nAnswer: 68698040000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3245699 divided by -4.\nAnswer: -3245699\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 6509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 7) to base 8\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 18*k - 1. Let p(u) = 99*u + 5. Let a(t) = -5*d(t) + p(t). Let h(l) = 8*l + 9. Give 6*a(n) - 7*h(n).\nAnswer: -2*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of 1\/4*i**4 + 118 - 5\/12*i**3 + 0*i - 1\/20*i**5 + 1\/4*i**2. Find t, given that a(t) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 12:06 AM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q - 4*q - q)*(-q**4 + 2*q**2 - 2*q**2) - q**5 + 4*q**2 - 4*q**2 + (-3*q + 0*q - 4 + 2*q)*(-2*q**4 + 0*q**3 + 0*q**3).\nAnswer: 2*q**5 + 8*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 638*y - 5150. Calculate l(8).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + (2 + -6 - 162). Find the common denominator of m\/102 - (-8)\/16 and -1\/7.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 4*y + 39. Let i(s) = -9*s - 79. Let v(n) = 6*i(n) + 14*p(n). What is the remainder when 124 is divided by v(-29)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35 * -2\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -307*j. Let w(l) be the third derivative of l**5\/30 - 2*l**2 + 5*l. Calculate r(w(c)).\nAnswer: -614*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 5*s**2 + 0 - 6 + s - 3*s**2. Is j(6) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 179 + 40. Suppose -4*u - 10 = -24*c + 54, 4*u + 3*c - 179 = 0. What is the remainder when k is divided by u?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8480*y + 1431955 - 1431955 in the form z + r*y and give r.\nAnswer: 8480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/97)\/((w**19*w)\/w) assuming w is positive.\nAnswer: w**(-1845\/97)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 0.5 (b) -65 (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/82 and 71\/282?\nAnswer: 11562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 196315312\/1736 - 16\/(-14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wv when two letters picked without replacement from vjevjeeeveewveev.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 111677\/7 - 15954. What is the fifth smallest value in -4, 1\/4, -276\/5, a, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -95\/12, 0.5, 1\/288, -0.05?\nAnswer: -95\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -5. Suppose 2*t + o - 241 = -d*o, t + 3*o = 128. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 - 5*c - 4. Let s be j(-1). Solve -4*g = 20, -s*o = -o - g for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 67472\/15 + (-68)\/60 + 1. Let g be ((-2144)\/12)\/(z\/(-4500) + 1). Round g to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -254 at most as big as -254?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 168\/48)\/(-9 + (-2145)\/(-242))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i - 387 - 10*i + 8*i + 387.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100 + -1000121?\nAnswer: -1000021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**3 - 14677*f**2 + 27537*f wrt f?\nAnswer: 6*f - 29354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - 120*y**2 + 587*y + 413. What is t(115)?\nAnswer: 1793","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 + 5*m + 2. Let y be p(5). Let j(w) = -w**3 + 3*w**2 - w. Calculate the smallest common multiple of 27 and j(y).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.21*-0.2.\nAnswer: -0.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35320 divided by -2.\nAnswer: 17660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2 + -3*((sqrt(8) - (sqrt(200) + 0 + sqrt(8)))*4 + 2)))**2.\nAnswer: -17280*sqrt(2) + 259776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72 + 15850695*n + 154 - 15850694*n.\nAnswer: n + 226","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -82943*z**5\/10 - 35292*z**4\/5 + 84951*z**3\/10 + 7088*z**2 - 1152*z\/5 = 0.\nAnswer: -16\/17, 0, 9\/287, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 805*k - 22. Let c(u) = -1. Let h(d) = -5*c(d) - n(d). Is h(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-70)\/(-12)) + (-2348)\/4109?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 48\/14 - 12\/(-21). Solve -d - 2*h - 5 = 3*h, 2*h = -w*d - 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -1003021333120?\nAnswer: 1003021333121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 0.17151.\nAnswer: -0.17151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 69?\nAnswer: 5\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lcceecceecpppc. Give prob of picking 2 p, 1 c, and 1 l.\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 - -17. Let j be (-2)\/w - 7\/(-4). Solve j*u = u - 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-54)\/15)\/3)\/(((-144)\/(-45))\/8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppxpppxp. Give prob of sequence ppx.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 <= 180?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 + 3*c + 3. Let i be u(-1). Let k(s) = -3*s**2 - 2*s - 1. What is k(i)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 + -13 + -6 + -11\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*p - 10*p - 19*p)*(p - 2*p + 5*p).\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d + 1. What is the smallest common multiple of 12 and w(19)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v + v + v)*((-3*v**2 + 2*v**3 + 3*v**2)*(-v + 3*v - 3*v) - 7*v**4 + 9*v**4 - v**4).\nAnswer: 3*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -126 - -161. Suppose u*l = 33*l + 148. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -23\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.02 + -0.32. Let r = -0.2 + 0.4. Sort 2\/13, p, r in ascending order.\nAnswer: p, 2\/13, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 - -23. Let j(g) be the first derivative of -g**4\/4 + g**3\/3 + 29*g**2\/2 + 8*g + 11. Let q be j(s). Solve c + 2*k - 5 = 0, q*c + 5*k = 6 + 4 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 11 + -14 + -2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/((-2)\/129)*(-8008032)\/36. Let y = s - -9495448. Round y to the nearest one million.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -20, -54, -110, -194, -312?\nAnswer: -470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 9) to base 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1620)*-2)**2.\nAnswer: 6480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -3*c**3 - 22*c**2 - 6*c + 7. Let r be p(-7). Suppose -h + 15 + r = 0. Solve -2*a = -5*a + h for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**3 + 0*d**3 + 8*d**3 - 2*d**3.\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.9076 > 36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2140656 a multiple of 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -896 - 39*b + 896.\nAnswer: -39*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 665803 + -308?\nAnswer: 665484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 91222.5 months?\nAnswer: 76.01875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 10, -2*h + 5*y + 43 = -11. Suppose -g + h = -0*g. Let r = -23 - -53. Calculate the lowest common multiple of r and g.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -156, -280, -366, -396, -352?\nAnswer: -216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 9:15 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, d: 3, y: 4, n: 1, a: 5, c: 1}. What is prob of picking 3 y and 1 c?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 11*z**2 + 41*z - 10. Let t(l) = -24*l**2 - 81*l + 22. Give 13*q(a) + 6*t(a).\nAnswer: -a**2 + 47*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {w: 3, h: 8}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16159 is divided by 33.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/176 and -127\/396.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1337 a factor of 869764821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -20201002212 (base 3) to base 14\nAnswer: -36186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6976*g + 5303*g - 2895*g + 1172*g to d + i*g and give i.\nAnswer: 10556","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/369399383 and 15\/6848656?\nAnswer: 5910390128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2454770799 to the power of 1\/2, to the nearest integer?\nAnswer: 49546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y + 2, 0 = x - 2*x + 3*y + 6 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 0.031 (b) -2\/3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*m**2*n**2 + 26*m**2*o**2 - m*n**2 + 2*m - 18*n**2*o**2 - 2*n**2 + 23*n*o wrt o.\nAnswer: 52*m**2 - 36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -107*i + 5411 + 6680. What is the remainder when 278 is divided by i?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19233 + -11102. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 153b (base 14) to base 12.\nAnswer: 2229","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 201 divided by 3021.\nAnswer: 67\/1007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -w**3\/3 + 3*w**2 - 4*w - 10. Give z(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 2:05 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -5*z - 1. Let s(j) = -4*j - 1. Calculate 6*q(c) - 7*s(c).\nAnswer: -2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v*v**(-7))\/v)*v**7)\/(v**3*v\/v**(-2\/9))*((v*v**3*v*v)\/(v*(v\/(v\/(v\/(v**(-13)\/v))))\/v))**(-22) assuming v is positive.\nAnswer: v**(1879\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*t - 5*t**2 - 69 + 69 wrt t.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -j + 1. Suppose -2*u + 4 = -j. Suppose -2*w = u*c + 18010, -3*c + 3*w + 13515 = -6*c. Round c to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9068, -22, 1\/9 in increasing order.\nAnswer: -9068, -22, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5589829 + -6?\nAnswer: -5589834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 6:42 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*1*992\/2480?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in z**3\/5 + 1916*z**2 + 5579587*z\/5 - 5589168\/5 = 0?\nAnswer: -8957, -624, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 4*o = -5*o. Suppose 5*n - 30 + 5 = o. Solve 5*c + 30 = n*q, 2*c + c = -3*q - 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) -11 (b) 0.11 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0044412 rounded to five dps?\nAnswer: 0.00444","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 361*x + 361. What is p(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 6 = -3*l, l - 4*g - 1 = 1. Let t = 2.4 + -2.2. Which is the nearest to 0? (a) 2\/5 (b) t (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 91*p - 132. Let s(r) = 82*r - 131. Let x(h) = 6*i(h) - 7*s(h). What is x(4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 586357?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by 5721.\nAnswer: -14\/5721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-1)*((-1 - -5) + 11). Solve 2*i - q = -i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -6, -10, -16?\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*z - 55 = -z - z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 1 + 1)*(27*w - 24 - 56*w + 28*w).\nAnswer: 8*w + 192","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -170\/3 - -56. Let l be (-18 - -21)*(-2)\/21. What is the closest to 0.1 in l, 2\/13, o?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 212156446?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1073306327 a multiple of 739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 190272.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81 = 56*l + 5*l + 7*a, -5*l + 5*a - 39 = -8*a + 15*a for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 - 56 - -84 - (-1 + 3 - (5 - -9))?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8312184.\nAnswer: 2, 3, 17, 6791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s. Suppose 2*g = 5*g + 15. Determine u(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 4 + 1 = -5*v, 0 = -5*v - 4*i - 10. Let s be 2 + (4 - -1) + 1. Let h = s - 5. Solve 7 = v*z - 1, -h*y - 7 = -z for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38891345*h**2 + 226339680*h + 2?\nAnswer: -77782690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 231 (base 5) to base 15\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(75) + -4 + 2 + 3 + sqrt(75)*-2 + -4)*1)**2 + 0 + 3.\nAnswer: 30*sqrt(3) + 87","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -13*m**2 - 34 + m**3 + 10 + 38*m + 0*m**3. Calculate the least common multiple of 20 and q(11).\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 11) to base 4\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 + 32. Suppose 0 = -3*z + 4 - 19. Let u = z + j. What is the remainder when 23 is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 103 + -99. Suppose 5*a + 2*k = a + 258, u*a + k - 261 = 0. Find the third derivative of -a*v**3 + 57*v**3 + 16*v**2 + 6*v**2 wrt v.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -0.25?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -7\/3*l**6 + 0*l**5 - 9 + 0*l**4 + 20\/3*l**3 + 0*l**2 + 0*l. Find the third derivative of d(z) wrt z.\nAnswer: -840*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 202600 + -202596.95426. Let x = -50.04554 + r. Let h = 47 + x. What is h rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 5*m - 26 + 22 + 14. Let w be o(6). Suppose 2*h - 29 = 51. Is h bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39123563080.53 take away -2?\nAnswer: 39123563082.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - 4*k + 3. Let q be s(6). Let g = q + -9. Solve 0 = l - 3*y + g*y + 11, -2*y - 6 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5184390 to the nearest integer?\nAnswer: 2277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 25*q**3 - 6*q**3 + 6*q**3 + (-q**2 - q**2 - q**2)*(246 + 64*q - 246).\nAnswer: -167*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101010011101 (base 2) in base 3?\nAnswer: 100100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -39 divided by -39\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 685*j + 360277 = 356167 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1209698?\nAnswer: 2, 7, 71, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 67872 and 2016768.\nAnswer: 14117376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4060844, -8121696, -12182548, -16243400, -20304252?\n\"Answer: -4060852*h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 6*p**3 + 2*p + 3. Let m be 9\/(-6)*(1 + -3). Let h be r(m). What is the greatest common divisor of h and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28512610 and 98.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of -x**7\/5880 + x**6\/280 - 9*x**5\/280 + x**4\/4 + x**2 - x - 6. Let r(b) be the third derivative of g(b). Solve r(w) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c**3 - 9 + 11*c**2 + 12*c + c**3 + 0*c + 16. Let r(s) = 2*s**2 - 6*s + 4. Let w be r(4). What is the units digit of h(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 20*n - 3*n. Solve 2*a - 5*a - 5*u + 32 = n, 0 = 4*a - 3*u - 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3065 and 11647.\nAnswer: 58235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22134 - 43220?\nAnswer: -21031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 11, 2, 3, -3 in descending order.\nAnswer: 11, 5, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -54, 3, -5, -200, -2 in ascending order.\nAnswer: -200, -54, -5, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*v - 220 = 2*z + 124, -37*v - 32 = 3*z - 41*v for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + u)*(5*u + 13 - 13 - 3*u - 3*u + 4*u + (-4 + 2 + 3)*(0*u - 3*u + 4*u) - 2*u + 2*u + u + 4*u + 0*u - 3*u).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 315*(-50)\/(-3250) - 3\/(3\/5)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 13*g**2 + 16*g - 5. Let q be l(-11). Let h = q - -805. Suppose 5*n - 75 = -4*t + h, -3*t + 341 = 2*n. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.5384 + 4.4616. Sort -0.5, -2\/19, 28, -4, q in decreasing order.\nAnswer: 28, q, -2\/19, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -324\/7*c**2 + 0*c - 558\/7*c**3 - 6\/7*c**5 + 0 - 16*c**4.\nAnswer: -2*c**2*(c + 9)**2*(3*c + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24629 is divided by 190?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 l, and 1 j when three letters picked without replacement from {l: 4, p: 3, d: 2, j: 2}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 5*o + 15. Suppose -o*u - 75 = -5*g, -5*g - 3*u + 81 = -34. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 359 + -358.6. What is the closest to -2\/7 in -0.4, 3, w?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 40, 122, 264, 472, 752?\n\"Answer: u**3 + 24*u**2 + 3*u + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -3 + 3*n + 0*n**2 + n**2 + 0 - 2. Suppose -5*r = 4*g + 29, -2*g = -4*r + 3*g - 15. Calculate o(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-2\/7))**(-28)*b*b*b*b**(3\/5)*b*b*b\/b**5*b assuming b is positive.\nAnswer: b**(-167\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 548 = v - 526, -j = 2*v - 2146. Let o = -756 + v. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48047196.6 rounded to the nearest 10000?\nAnswer: 48050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -18*m**3 - 4*m**2 - m - 4. Let j(r) = 19*r**3 + 3*r**2 + r + 3. What is -3*i(c) - 4*j(c)?\nAnswer: -22*c**3 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.92 - 0.08. Which is greater: 9 or v?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 457 = 14*b, 5*u + 160 = 10*b - 3*b - 12*b for b.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6010894 is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0727 - -0.0427. Which is the nearest to 1? (a) q (b) 0 (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36280*j**2*v**2 + 88*j**2*v - 5*j**2 wrt v?\nAnswer: -72560*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 11*x**2 + 17*x + 29. Let h be o(-2). What is the greatest common factor of 3679 and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 2 + 2 + -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**3 - 5*k**2 + 13*k + 5. Let r be j(-5). Let m = 185 - r. Is m a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 4*b**3 - 5*b**2 - 2*b + 5. Let q be m(4). Suppose -4*o - q = 339. What is o rounded to the nearest ten?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -77502 and 15\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nehhnnhnnennnnn. Give prob of picking 2 e.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1341.3 - 1277. Let a = 64 - d. What is the nearest to -1\/4 in 3\/7, a, -0.45?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/14 and -67\/98.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5\/4, 737\/3, -1?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 276102 (base 10) in base 5?\nAnswer: 32313402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*p - 4*p. Suppose -5*h = -2*w - 235, -p*h - 2*w - 2*w = -160. What are the prime factors of h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u - 15 + 0*u + 26 - 12 + 21. Calculate f(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22700 divided by -7?\nAnswer: 22700\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14527281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12252, -24506, -36762, -49026, -61304, -73602, -85926?\nAnswer: -98282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1082 + 1220. Let t be 2\/6 - 494\/6. Let f = a + t. Is f a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 93 - 26 + 325 + 2*a**2 in the form k*a + v*a**2 + b and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8829228813 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -588178900*v**2 - 428464627*v.\nAnswer: -1176357800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23760 and 2913570?\nAnswer: 23308560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + i - 493, 1014 = 4*q - 94*i + 92*i. Solve -q = -34*c - 16*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -81 - -76. Which is the biggest value? (a) -3 (b) 0.06 (c) -0.5 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-3) - (-4)\/(-12). Let f = -61 - -36. Let x = f - -30. What is the closest to -1\/4 in 6, n, x?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4638\/13 + 22858\/39. Are 230 and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*((-24)\/15 + 2)*43\/(-86).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - (-4*sqrt(84)*3 - sqrt(84)))\/(3*sqrt(700)*2))**2*-6.\nAnswer: -98\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w**2 + 6 - 9 + 3*w**2 + 6 in the form h*w + v + a*w**2 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 3*a - 2. Let o be x(2). Is 11 a factor of ((-5)\/12)\/(3\/(-27))*o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*d, -2*d = -3*k - 0*d + 16754. What are the prime factors of k?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/1 + 7*8. Let l be ((-33)\/a)\/((-2)\/10). Solve 0 = -5*w - 5*q - 20, w - l*w - 4*q - 6 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from baqqaauyaaaqaaaabaib. What is prob of picking 1 q and 1 i?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 15 = 2*b, -4*h - 25 = -9*h for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14102 + 13455. Suppose 46335 = 49*a - c. List the prime factors of a.\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7893 or -9525?\nAnswer: -9525","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 7) in base 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3252 + -5225?\nAnswer: -12521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*(6 - 91\/7 - 105460) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66 and 474?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-30)\/5 + 5)*(-1 + 3) + 11760?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4661*b**2 + 5762*b**5 - 4661*b**2 + (-3*b + 0*b + 5*b)*(b**4 + 0*b + 0*b).\nAnswer: 5764*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -0*j + 10, -4*s = -3*j - 267. Suppose -3*n + x = 4*x + 90, -2*n - s = x. Let l = n - -81. Is 9 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.429 times -120.055?\nAnswer: -411.668595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = 30*n + 135 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -8*q + 5. Let p(s) = -4*s - 2. Let r be p(-3). Let t = r + 8. Calculate the remainder when n(-6) is divided by t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -1184*w**3 - 158*w**2 - 8*w - 9. Let j(n) = -591*n**3 - 82*n**2 - 3*n - 4. Let r(z) = -4*b(z) + 9*j(z). What is the third derivative of r(v) wrt v?\nAnswer: -3498","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from awaawhawrw. What is prob of sequence hw?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 70999.16 decades?\nAnswer: 709.9916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001075196 rounded to five decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -67800000 to the nearest 1000000.\nAnswer: -68000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**2 + 5*x**2 + 2 - 1. Let d be i(-1). Solve -2*y = 2*y - d for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 2*k + 51, -2*x - 2 = 4*k - 72. Is x a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -309 divided by -103.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.372, 1, -37, -0.1 in increasing order.\nAnswer: -37, -0.1, 0, 0.372, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 9*o**2 + 10*o + 3. Let w(k) = -5*k**2 - 5*k - 2. Let n(d) = 3*c(d) + 5*w(d). Suppose 3*y + 11 = -1. Is 4 a factor of n(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a + 12. Let f be t(-11). Let j(c) = 29*c - 1. Is j(f) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-390)\/42 - (8\/14)\/(-2). Let j be (3\/c - 0)*(4 + 11). Which is smaller: j or -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.5 + -2. Let w = 0.223 + -4.223. Which is the biggest value? (a) w (b) r (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -724.7 to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 + 33. Solve d - 12 = -3*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 11 = -0*b - 5*c, 4*c - 13192 = 3*b - 13178 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1d7063 + -1?\nAnswer: 1d7062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 179 - b - 178 + 0*b + 2*b + b. Let j(s) = 2*s. Calculate -5*j(x) + 4*y(x).\nAnswer: -2*x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**2*c**3*p**2 + 190*a**2*c**2*p**3 - 2*a*c**3 + 2*a*c*p + 4*a*p**3 - 13*c**2*p**2 wrt a?\nAnswer: -4*c**3*p**2 + 380*c**2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43 + -44. What are the prime factors of (-1 + f)\/((-4)\/58)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11183 + y - 16442 + 8785 in the form k + v*y and give k.\nAnswer: 3526","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 721306.54 to the nearest 10000.\nAnswer: 720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -8143 + -5?\nAnswer: -8148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 6, q: 2, b: 4}. What is prob of sequence qqb?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 81718?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 6*w - 1 = 0. What is the nearest to w in -5, -0.5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 + 7*n + 12. Let r be k(-9). Let f be ((-10)\/r)\/(1\/(-6)). Solve -m - 1 = -f*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 558645630?\nAnswer: 2, 3, 5, 59, 547, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1062098377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(((-2)\/4)\/((-390)\/(-312))).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1011101111010001110 (base 2) to base 8\nAnswer: -1357216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-2 + (-2 + sqrt(19) - sqrt(19))) + (sqrt(76)*1 + sqrt(76))\/sqrt(4)*-6)**2.\nAnswer: -96*sqrt(19) + 2752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*m**3*r**3 + 73*m**3 + 10*m*r**4 - 501*m*r + 1414*r**2 wrt r?\nAnswer: -42*m**3*r + 120*m*r**2 + 2828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3422340003 (base 5) in base 6?\nAnswer: 431203325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (-13)\/(65\/30).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -9*a + 23 + 34 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 k when three letters picked without replacement from ekeeeeeeekkeeekkke?\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-1\/5)\/i))**(-1\/3) assuming i is positive.\nAnswer: i**(-11\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x - 4. Let v be l(4). Let o(k) = 3 - 2*k**2 + 4*k**2 - k**2 + 0*k**2. Let r be o(v). Is r at most 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.5 in -0.09, 9, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 23 - 3. Suppose -8 = -5*z + 12. Differentiate -d*r**z - 23*r - 12 + 23*r wrt r.\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2057044575 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4 = -2*n. Let g(t) be the first derivative of -t**6\/45 + 2*t**3\/3 + 1. Let i(q) be the third derivative of g(q). What is i(n)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 + -39 + -4 - -45\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.92? (a) 0.4 (b) -1\/5 (c) 0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2160 + -1043. List the prime factors of k.\nAnswer: 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -243 - -2183\/9. Suppose 4*i = 2*k - 6*k + 4, 0 = 5*i + 2*k - 17. Suppose -i = -4*l + 71. Find the common denominator of l and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/4 + (-350)\/(-28). Let k be 40\/7 + 4\/14. What is the highest common factor of k and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20163266?\nAnswer: 2, 10081633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of -b**4\/24 - 5*b**3\/3 + 2*b**2 + 56. Give z(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14858*d + 14939*d - 8100 = 0 for d.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -167, -329, -499, -677, -863?\n\"Answer: -4*w**2 - 150*w - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1220121022022 (base 3) to base 7\nAnswer: -11430200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.011 - 16. Let a = -0.011 + b. What is the nearest to -0.1 in a, -4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -6, -3, -7, 0, 1 in ascending order.\nAnswer: -7, -6, -3, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (175 + 5*q - 175)*(0*q + q + q)*(-119*q - 129*q - 33*q).\nAnswer: -2810*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**5 + 249*k**4\/8 - 795*k**3\/8 + 69*k**2 + 90*k = 0. Calculate k.\nAnswer: -5\/8, 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 11:39 AM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 9:42 PM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/95 and -109\/4902.\nAnswer: 24510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -766*g + 770*g, 3*q = -4*g + 61 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n - 4*d + 24, -3*n = n - 4*d + 28 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 9 = 3*f - 4, 32 = 4*f + 5*h. Sort 0, 2, f in ascending order.\nAnswer: 0, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 18 = -2*w. Let f be w + 12 - 5\/((-10)\/(-108)). Let q = f - -133. What are the prime factors of q?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 545.42 meters to kilometers.\nAnswer: 0.54542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/36 and -143\/13248.\nAnswer: 13248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o + 1. Let d be h(-9). Let u(x) be the second derivative of -x**4\/6 + 7*x**3\/2 - 2*x**2 - x - 7. What is the remainder when 7 is divided by u(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3*q**2 - q - 2. Let h be r(-1). Let m be (8\/16)\/(h\/12). Suppose 4*b = m*b + 1. Calculate the smallest common multiple of 2 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of f**6\/75 - f**5\/10 + 3*f**4\/10 - 7*f**3\/15 + 2*f**2\/5 - 8*f. Factor o(c).\nAnswer: 2*(c - 2)*(c - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*t**4)*(4 - 4 - 4*t) + (0 - 2 + 1)*(-2*t**5 + 4*t**5 + t**5) - 199*t**4 - 5*t**5 + 199*t**4 + (2*t**4 - 4*t**4 + t**4)*(-4*t + 3*t + 2*t).\nAnswer: -17*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 2514911815 to the nearest one million.\nAnswer: 2515000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 3, 1, 2 in decreasing order.\nAnswer: 3, 2, 1, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (42\/49)\/(18\/28). Let s = -190.044 + 0.044. Let d = s + 189.9. Which is the second biggest value? (a) n (b) 0.3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -133*j**2*p**5 + 18*j**2*p**2*w + j**2*w + j*p**2*w + j + p**6*w wrt p.\nAnswer: -7980*j**2*p**2 + 120*p**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -92 + 53. Let s(m) = -8*m - 187. Let b be s(-18). Let q = r - b. Solve w - 2*i - 12 = 0, 0 = 4*w - 6*w - 3*i - q for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 32 - 109. Find the third derivative of -16*n**6 + h*n**6 + 11*n**2 + 28*n**2 wrt n.\nAnswer: 3720*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 2*g + 14 = 0, 0*g = -4*c - 3*g + 21. Let l be (-2)\/(-6) - 8\/c. Let o(x) = -7*x**2 - 1. Let y be o(l). Which is bigger: y or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -134 divided by -493?\nAnswer: 134\/493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 9. Let p be 49 + (r - -1) - (8 - 12). Suppose -2*j = p - 477. What are the prime factors of j?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/9 - 328*a\/3 - 13448.\nAnswer: -2*(a + 246)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -3*o**2 - 5*o + 17. Calculate q(-6).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**2 - 4*o**2 - 4*o**2 + 6*o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 27197 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 + 10*n - 17. Let d be f(7). Solve -11 = i + q - d*q, 4*q = -4*i + 36 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*y + u + 3, u = -4*y + 9. Is y > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65, 0.2, -2\/3, 533 in decreasing order.\nAnswer: 533, 65, 0.2, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3177160?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2092 is divided by 693?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 3:37 AM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4\/9, 92042, 2\/5?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11148 to the power of 1\/2, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 + -1203110?\nAnswer: -1203041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2 + (sqrt(325) - (sqrt(325) - (sqrt(325) + -1))*5 - (-2 + 1*sqrt(325))))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 0.069, 94, -37\/4.\nAnswer: -37\/4, 0.069, 1\/3, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 2*b + 5. Let g be d(4). Suppose 5*p - 2 = g. Let c(k) = p*k - 3*k - 2 + 2*k. Calculate c(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 1, -5 in ascending order.\nAnswer: -5, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 799.\nAnswer: 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65524?\nAnswer: 2, 16381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -5*s + 3*b, -2*s + 5*b + 22 = 0. Suppose 7*d + 25 = 2*d. Sort s, d, -1 in decreasing order.\nAnswer: s, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*b + 4*b**3 - 73*b - 3*b**3.\nAnswer: b**3 + 26*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 3*v - 2*k, 89*k - 90*k = 3*v - 3 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = v + 1096 - 1103 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 4 + 5 + 524*v**2 - 523*v**2 - 13 + 0*v - 7*v. Let q(y) = -y**3 + 9*y**2 + 10*y - 2. Let m be q(10). Let s = 9 + m. What is z(s)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*y - 34*y = -4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 308*v - 420701 = 220116 - 178817. Does 50 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3681405 and 403.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(5\/6)\/(x*x**(-9\/5)*x))\/(x\/(x*x*x\/(x\/(x*x**(6\/5)*x)))*x**(-10\/3)) assuming x is positive.\nAnswer: x**(49\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 246 and 43255902?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2b (base 12) to base 6\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 6*t**3 - 11*t**2 + 9*t + 3. Let z(n) = 2*n**3 - 4*n**2 + 3*n + 1. Suppose q - 16*y + 13*y = -20, -3*q = 4*y + 21. Calculate q*z(x) + 4*m(x).\nAnswer: 2*x**3 + 3*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-5))\/(((-10260)\/1650)\/57).\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 + t + 11. Let u(g) be the second derivative of g**3\/6 + 3*g**2\/2 + 5*g. Let j be u(-3). What is q(j)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of -j**3\/6 - 3*j**2\/2 - 86*j. Let q(z) = -4*z - 14. Let v(k) = 9*c(k) - 2*q(k). Give v(-10).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2889*o**5 - 2*o - 184.\nAnswer: 57780*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of 7\/6*m**3 + 7*m - 2*m**2 + 0. What is the tens digit of l(13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (10\/(-6))\/(7*1 + (-105109286)\/15015600). What is y rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 521367176 a multiple of 1532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 630 = 5*g. Is g a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 2*g - 9116 = 0, 3*j - 20014 = -4*g - 6305. Is 39 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 0*n + 18 = 2*x, -5*x + 45 = 4*n. Let g be 4\/(-6) + 60\/x. Let h(m) = m**3 - 7*m**2 + 3*m + 5. What is h(g)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.022191 to 3 dps.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 + -17.5. What is the third smallest value in x, 1\/3, -0.4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -15, 2, 33, 84, 161, 270, 417, 608?\n\"Answer: d**3 + d**2 + 7*d - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1530 divided by 5.\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 237 (b) 3 (c) -20 (d) -34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16123\/4970 - -225\/142. Let b = k + -54\/35. Is 2 bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.15? (a) 5 (b) -0.4 (c) 1 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94 = -20*k + 3*r, 2*r + 3*r + 15 = -113*k + 112*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h, p = 3*p + 4*h + 6 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 1986 = -i - 2*m, 3*i - 2964 = -2*m. Suppose i = 21*z - 15*z. Let k = -1158\/7 + z. Which is the third biggest value? (a) k (b) 1 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2551273 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.11 - -0.11. Let u = 7 + -3. Let v = j + u. What is the third smallest value in v, 5, -4\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three tenths of a day?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 953263.9ml?\nAnswer: 953.2639","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.74 + -0.26. Let s = q - -10. Let x = -135.7 - -135.3. Which is the nearest to -1? (a) s (b) x (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 3*d = -1979, 0*s + d = -4*s + 1579. Let a(h) = h**3 - 7*h**2 + 7*h + 6. Let x be a(6). Suppose x*t - 2278 = -s. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 3 = 3*l - 6, -5*x = -4*l + 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35616, 35627, 35640, 35655, 35672?\nAnswer: 35691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 51\/19 < 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 2:31 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2 - -2.7. Let v = -3.5 + 4. Let m = r - v. Which is smaller: 1 or m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-72)\/(-7) + 4\/(-14). Suppose m = -m + z. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2438517642 to the power of 1\/2, to the nearest integer?\nAnswer: 49381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30.949 + -31.949. What is the nearest to j in 2\/23, -0.2, -2\/3, -3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/(-154)*11*12*91\/312?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -43*b**2 - 3*b. Let m(r) = 42*r**2 + 4*r - 1. Suppose 38*a - 52 = 25*a. Let l(v) = a*x(v) + 5*m(v). What is the second derivative of l(h) wrt h?\nAnswer: 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vxvxxxxxxyxyxxxuxvx. What is prob of picking 2 x and 1 u?\nAnswer: 26\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v. Let m be y(-3). Solve 0*c + 4*c = -m*x + 5, 3*c - 15 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 - 3*i - 4. Let s be h(-2). Suppose -b = -2*t - s, 0 = -t - 4*b + b - 3. What is the second biggest value in t, 0.2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i**3 + 6*i**2 + 9*i + 1. Let d(t) = -t**3 + t + 1. Let z(y) = -d(y) + h(y). Suppose 0*s - 3*s + 21 = 0. Is 7 a factor of z(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/4*14\/70*(-32)\/(-12)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5415 - -5413. Let s = 6 - -6. What is the smallest value in -4, v, s?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of -d**3\/3 + 2*d**2 + d + 56. Let f = 3 + 0. Determine m(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 313807 or 313875?\nAnswer: 313875","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -131 or -569?\nAnswer: -131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7.144823 micrometers?\nAnswer: 0.007144823","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*z - 2 = 0, 5*q + 3*z - 90 = -2*z. Let y be q\/49*(-14)\/(-8)*4. What is the third derivative of -3*r**3 - 3*r**3 - 3*r**3 + 7*r**y - 2*r**2 wrt r?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + 18*r - 6. Let p be c(-15). Let o = -29 - p. What is the lowest common multiple of 2\/((-6)\/(-27))*2 and o?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -12*y - 79. Let i be t(-7). Let j(g) = 40*g + 21. Does 13 divide j(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19388*s - 38775*s + 19376*s + 99 = 0 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.83 - -0.15. Let i = v - -0.88. Let k = 1 + 0. Which is the closest to k? (a) 0.3 (b) i (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2085*x**3 + 360*x**2 wrt x?\nAnswer: 12510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 743817?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3006 - -2998) + -15 + 0?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o + 540 = -11*o for o.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 236283 + 78754. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 - y - 1. Let l be h(3). Suppose -2*i - 5*v - 16 = -4*i, 2*v = -4*i + 32. Suppose t = i - 4. Which is the biggest value? (a) t (b) -2\/3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + 2)\/((-6)\/(-4)). Let y = -1035 + 1041. Let f be 2\/(-1) + (3 - -1). Solve f*q + 12 = -u*h - 6, -4*q - y = -2*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-1)*68\/(-8). Let j(c) = 50*c + 12. Let v be j(12). Suppose -3*f + v = f. Calculate the greatest common divisor of g and f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c**4\/5 + 18*c**3\/5 - 19*c**2\/5 = 0. Calculate c.\nAnswer: -19, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*v**3 - 5*v**3 + 0*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -1069*b. Let x(g) = 2*g**2. Determine w(x(q)).\nAnswer: -2138*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000762 rounded to six dps?\nAnswer: -0.000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1116045 - 46?\nAnswer: -1116113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 930596687 to the nearest integer?\nAnswer: 30506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wiiaiwaxxxjam. Give prob of picking 1 a and 1 m.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/9 (b) -22 (c) 2.55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o = 8*o - 3529 + 3515 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(-1\/4)*m))\/m*m*m**(1\/3)*m)**(1\/12) assuming m is positive.\nAnswer: m**(19\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + -10)*(-1 + 7\/21). Suppose d + 474 = h*d + n, 2*d - 5*n = 168. What are the prime factors of d?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2214*h - 2223*h + 27 = 0. Solve -h*o = -4 - 11 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/2471637 and 13\/3530910?\nAnswer: 24716370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2489249 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z*(z*z*z**(1\/12)*z*z)\/z*z*z)))\/z**(-2\/35)*z*z*z*z**(-23)*z*z**(-13)*z assuming z is positive.\nAnswer: z**(-10441\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.47157362 + 0.83157171. Let f = 17 + -16.64. Let k = w - f. What is k rounded to 7 decimal places?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*l + 10442 = 384*l - 49*l for l.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y + 5*y + 0*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 - 53 = -10*t. What is the nearest to t in -2\/3, 2\/93, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -11 + 6 + 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233 + 364 - 44 = 79*i for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 3*l + 15. Let b = 57 - l. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = c, 25 = -2*r + 4*r + 5*c. Suppose d + 1 = -r*q + 2*d, 5*q - 2*d + 2 = 0. Suppose 5*i - 35 + 11 = -3*o, q = 4*i - 2*o - 6. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11648 and 72240.\nAnswer: 7512960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d = -39*d + 10600. Solve -19*g + d = 21*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -600, 3, -3 in decreasing order.\nAnswer: 3, -3, -600","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-97)\/10*(61 - 51)*(-10 + 9)?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 20, -1, -0.2, -1\/3, 98\/27, 0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of -3*c**2 + 1\/12*c**3 + 0 + 0*c + 1\/240*c**6 - 1\/120*c**5 - 1\/48*c**4. What is b in v(b) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 13 = 7. Let g be (r\/14)\/((-4)\/(-56)). What is the tens digit of (g\/2)\/((-9)\/(-99))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/3 - (-186)\/(-18)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -8 + (-3825)\/(-200) - 11. What is the second smallest value in -1\/3, -2, l, -359?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z - 24, -96*w + 312 = -98*w - 52*z for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x**3 + 2*x**2 + 2*x + 1. Let d be g(-1). Let k be (1\/d)\/(6\/24). Let a be (-3)\/(-1 + k) - -8. Which is greater: a or 7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - 1 - (-1 - -2). Let p be (a - -2)\/(4\/14). What is the units digit of p*((-4)\/(-14) + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((11 - 12) + -1)*3\/33. Which is the closest to -2? (a) z (b) 0.06 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-29)\/2*2\/(-1). Suppose 8*z = -5*z + 3*z. Suppose 7*i + 12*i - 76 = z. Solve 4*n = i*f - 28, -5*f + 6*n + a = 3*n for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-35) + (-1749)\/1855.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(n*n**(1\/17))\/n*n)\/n**(-11))\/(n**(-5)\/(n\/n**(-4\/3))) assuming n is positive.\nAnswer: n**(1040\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 8:12 PM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27610635?\nAnswer: 3, 5, 13, 17, 8329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-49)\/(-14))\/((-21)\/(-42))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 6:59 AM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-72 - -38) + 29 + (24 - -2)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -2, 110 in ascending order.\nAnswer: -2, 1, 4, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 9 + -6 + 2 + (1 - 7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1575 < 1576?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 9*c. Let f(w) be the third derivative of -w**4\/4 - 4*w**2. Give 7*f(u) + 5*x(u).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 38 + 52. Is ((-28)\/126*-14373)\/(4\/p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.03328502912 and -3?\nAnswer: 1.96671497088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-5) + 644\/(-10). Let i = g + 451\/7. Let q = 0.06 - 5.06. What is the biggest value in q, i, 0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616277 (base 8) in base 3?\nAnswer: 101100210100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffwnwfflz. What is prob of sequence wl?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.69, -3, -6048?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -1\/1662, 2.8, -0.16 in increasing order.\nAnswer: -0.16, -1\/1662, 1\/4, 2.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (21\/12)\/7*42. Let t = s - 11. Which is the biggest value? (a) -0.3 (b) -4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -9. Let k = b + 16. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l + 4 - 4. Let b = -5 - -12. Let g(u) = -2*u - u - b + 7. What is k(g(w))?\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = y + 9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1555376?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 4*w - 3*h - 210, -5*w = 5*h - 270. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -846, -1\/69, -3.2, -4?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 107 or 90?\nAnswer: 107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + 13*v + 8. Let w be z(-10). Let f = w - -42. Let j = f + 9. Calculate the remainder when j is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 29*g**2 + g + 33. Let r be n(-29). Let m be 0*2\/4 + 1. Put m, -1, r in descending order.\nAnswer: r, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 145480 and 68360?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90 - (15 - ((3 - 10) + (3 - (4 + -7)))).\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 67 and 737.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*c + 2*c + 3*c)*(-3 + 3 - c) + c**2 - 2*c**2 + 2*c**2 + 0*c**2 - 38 - 4*c**2 + 3*c**2.\nAnswer: c**2 - 38","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -127 (c) 0.4 (d) -6137\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 83.33 * -8.4\nAnswer: -699.972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 70*y**2 - 6*y - 6. Let o(d) = -209*d + 114 - 81 + 2451*d**2 - 242. Calculate 209*j(z) - 6*o(z).\nAnswer: -76*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -11*v**2 - 148*v - 136. Calculate m(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w + 101 = -13 for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -17993*z**3 - 71*z**2 + z - 55243711 wrt z?\nAnswer: -53979*z**2 - 142*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 k when three letters picked without replacement from {l: 3, m: 8, k: 7, a: 2}.\nAnswer: 49\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -6*k. Suppose k = 15*j - 11*j. Is 0.4 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 196 and 3430?\nAnswer: 6860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/9, 0.4, -3\/2, -0.4, -42.7?\nAnswer: -42.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7049196 divided by 66?\nAnswer: -106806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a tonne in kilograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6431 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -2, 9, -5, -75, -1 in decreasing order.\nAnswer: 9, 5, -1, -2, -3, -5, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-6) + 2\/(-6). Suppose 0*a + 2*a - 8 = h. Suppose -3*p - 2*p + 15 = 5*x, 0 = -a*x - 16. What are the prime factors of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2454 is divided by 1199?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a centimeter in millimeters?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3 + 1 - 5*s + 4*s - 1. Let p be z(-3). Suppose -3*n - 2*n = -125. Solve -3*i - 2*i - n = p for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence knak when four letters picked without replacement from kanaankakkaa?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v + 126. Let k(f) = f + 129. Calculate -5*k(d) + 6*p(d).\nAnswer: d + 111","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*j**4 + j**4 - 3*j**4 + 11*j**4 + 7*j**4 + 8*j**4 + (-2*j + 2*j + 2*j)*(-6*j**3 + j**3 + 3*j**3) + j**4 + 2*j**4 - 4*j**4.\nAnswer: 27*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 4*a = -i + 16, -3*a + 6 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n*(n\/(n**(-1)\/n))\/n))\/n**(2\/31)*(n**(-3\/4)\/n)\/(n**12\/n) assuming n is positive.\nAnswer: n**(-1961\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -158.857 rounded to the nearest ten?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-36)\/(-90) + (-11)\/15. What is the closest to g in 0.1, -0.3, -3\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 317*x**3 + 24*x**2 - 17313*x wrt x.\nAnswer: 1902*x + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 - 11*z - 29. Let v be m(-4). Which is the nearest to v? (a) 12 (b) 0.3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 + 0?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express x**2 - 148 - 3*x**2 + 166 as t + d*x + i*x**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 16 = 2*q + c, 0 = 2*q + 4*c - 16. Suppose q*z = -2*z + 8. Sort 2, -8, z in ascending order.\nAnswer: -8, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -5*b - 245, 4*l + 304 - 464 = -2*b. Solve -l*w = -39*w - 16 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 9) in base 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100145.\nAnswer: 5, 20029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 94 - 93.835. Let q = v - 0.265. Which is the second smallest value? (a) 2\/7 (b) q (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -794, -5599, -18636, -44021, -85870?\nAnswer: -148299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of -1\/15*y**6 + 2*y + 16 - 14*y**4 + 0*y**3 + 13\/21*y**7 + 0*y**5 + 0*y**2. Find the third derivative of b(s) wrt s.\nAnswer: 1560*s**2 - 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 227?\nAnswer: -228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 5*y**2 + 768*y - 1526. Give d(2).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yaya when four letters picked without replacement from arprraypayarayr?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 9:08 PM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/(-6))\/((-18)\/(-27)) - -5. Which is the second biggest value? (a) 5 (b) -29 (c) o (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 197 - 188.6. Let s = h + -35. Round s to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 356.1027 kilometers?\nAnswer: 356102700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**2 + 2*l - 4. Let t(s) = -s**3 - 4*s**2 - 3. Let h be t(-4). Let n(w) = -w**2 - 3*w + 3. Let v(i) = h*n(i) - 2*a(i). Give v(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -a - 2*a**3 - 65*a**2 - 50*a**4 - 2*a**3 - 18*a**2 + 84*a**2 in the form j*a**2 + f*a**4 + l*a + t + p*a**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 13566140 divided by -5\nAnswer: -2713228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -587 + 588. Let l = 3.5 + -3.16. Let g = 0.04 - l. Which is the closest to t? (a) -0.2 (b) 2\/13 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qww when three letters picked without replacement from qwfwqwqffqqwqqqqwww.\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-36)*16\/(-40).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -1029, -4 in decreasing order.\nAnswer: 3, -3, -4, -1029","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 68.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 60\/(2 + 0) - -3. Suppose -v + 0*v + d = 0. Let p = 97\/3 - v. Are p and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 5 + 8 + 5*p)*(-1 + p + 1 + (3*p - 5*p + 0*p)*(3 - 2 + 0) + 2 - 2 + 2*p - 3*p + 1 - 1)*(-3 + 3 - p) + 0*p**3 - 6*p**3 - p**3.\nAnswer: 3*p**3 + 4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of 1\/20*s**5 + 0*s + 6*s**2 - 1\/70*s**7 - 1\/24*s**4 + 0 + 1\/24*s**6 - 1\/84*s**8 + 0*s**3. Suppose h(q) = 0. What is q?\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c - 5. Let z be s(-8). Suppose 0 = 2*m - z - 1. Suppose 22 = -k - 5*i, k - i = 10 - m. Solve 0 = -4*x - 3*l - 4, -3*x + 2*l = -k*l + 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3110636 to the power of 1\/2, to the nearest integer?\nAnswer: 1764","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -0.09\nAnswer: 0.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-3))\/((-218387)\/8736 + 25). Calculate the highest common factor of 6496 and n.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 826.\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4*i - 17 = -7, 3*j + 3*i = -3. Suppose 0 = j*q - 4, -7*q + 5*q - 108 = -4*u. What is the smallest common multiple of u and 5*7 - (8 - 9)?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 3*p**2 - 2*p**2 - 15*p**3 + 7*p**2 + 7*p**3 - 3*p to h*p**2 + x*p**3 + d*p + a and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 357\/105 - (-140)\/(-100)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1200 - 115?\nAnswer: 1041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3*b = 2*b - 197, 265 = 5*r - 5*b. Let z = 12 + -6. What is the greatest common factor of z and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -6*h**2 + 1183*h - 28433. Determine j(28).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 1. Put o, 8, 4, 5 in decreasing order.\nAnswer: 8, 5, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/312 and 47\/832.\nAnswer: 2496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 1. What is the third smallest value in w, 2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q + 13. Let g be d(-6). Suppose -3*c = -g*c. Let b = 0 - c. Which is smaller: 2\/5 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fifteen quarters of a centimeter?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a - 1. Let o be q(11). Suppose -2*v + o = 3*v. Let m(b) = 10*b**3 - 2*b**2 + 1. What is the units digit of m(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 + (-8200)\/(-360))*9.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u**2 + u**2 + 4*u**2 + (-u - 4*u + 3*u)*(-u + 0 + 0))*(-4 - 10 + 5).\nAnswer: -27*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 218040 divided by -30?\nAnswer: -7268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -2221?\nAnswer: 2212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttthhttettteethtttth. What is prob of picking 1 h, 1 t, and 2 e?\nAnswer: 52\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 + 5*k + 2. Let o be j(-4). Calculate the remainder when o + (-13 + 1)\/(-4) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-32)\/(-6) - (-4)\/6. Suppose -h = -3*s, -3 + 14 = o + 4*s. Suppose 3*i - 6 = -3*a + 426, 4*a - o*i - 611 = 0. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4032124?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 5*p**2 + 17*p - 15. Let s be l(6). Which is bigger: 53 or s?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -501 + 725. Put 0, g, 5, 3 in increasing order.\nAnswer: 0, 3, 5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ji when two letters picked without replacement from iij?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 1\/9579 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-10 - 24 - -15)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24139219 to the power of 1\/2, to the nearest integer?\nAnswer: 4913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3432410413 - -3?\nAnswer: -3432410410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 503?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 311.0834l?\nAnswer: 311083.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.7 + -14419.5456.\nAnswer: -14417.8456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - 5\/(-8))*-2. Let o = -0.1 - -0.6. What is the third smallest value in o, 2\/3, d?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 536 is divided by 67?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -609133 divided by 3521?\nAnswer: -173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -12*w**3 + 48*w**2 - 40*w - 8. Let h(m) = -4*m**3 + 16*m**2 - 13*m - 3. Let s(x) = -8*h(x) + 3*t(x). Factor s(p).\nAnswer: -4*p*(p - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sgeg when four letters picked without replacement from {g: 1, l: 7, e: 5, s: 5}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -574 + 262. Let i = b + 137. Let t = i + 324. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, c: 2, t: 5, q: 3}. What is prob of picking 1 w and 1 q?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 198520347 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8164948.\nAnswer: 2, 11, 185567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 4*q. Let b(w) = -22*w - 10. Let r(i) = -7*i - 3. Let d(z) = 3*b(z) - 10*r(z). What is o(d(y))?\nAnswer: 16*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-72) + 406\/(-126).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}